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Harary and hyper-Wiener indices of some graph operations J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-15 S. Balamoorthy, T. Kavaskar, K. Vinothkumar
In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in (Das et al. in J. Inequal. Appl. 2013:339, 2013) and (Khalifeh et al. in Comput. Math. Appl. 56:1402–1407, 2008). Moreover, we calculate the Harary index and the hyper-Wiener index of the ideal-based
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Variable Herz–Morrey estimates for rough fractional Hausdorff operator J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-12 Amjad Hussain, Ilyas Khan, Abdullah Mohamed
As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.
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Geometric characterization of the generalized Lommel–Wright function in the open unit disc J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-12 Hanaa M. Zayed, Teodor Bulboacă
The present investigation aims to examine the geometric properties of the normalized form of the combination of generalized Lommel–Wright function $\mathfrak{J}_{\lambda ,\mu}^{\nu ,m}(z):=\Gamma ^{m}(\lambda +1) \Gamma (\lambda +\mu +1)2^{2\lambda +\mu}z^{1-(\nu /2)-\lambda} \mathcal{J}_{\lambda ,\mu }^{\nu ,m}(\sqrt{z})$ , where the function $\mathcal{J}_{\lambda ,\mu}^{\nu ,m}$ satisfies the differential
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Well-posed fixed point results and data dependence problems in controlled metric spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-07 D. Sagheer, S. Batul, A. Daim, A. Saghir, H. Aydi, S. Mansour, W. Kallel
The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established
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The learning performance of the weak rescaled pure greedy algorithms J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-04 Qin Guo, Xianghua Liu, Peixin Ye
We investigate the regression problem in supervised learning by means of the weak rescaled pure greedy algorithm (WRPGA). We construct learning estimator by applying the WRPGA and deduce the tight upper bounds of the K-functional error estimate for the corresponding greedy learning algorithms in Hilbert spaces. Satisfactory learning rates are obtained under two prior assumptions on the regression function
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The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum J. Inequal. Appl. (IF 1.6) Pub Date : 2024-03-01 Yagub N. Aliyev
In this paper, we study a special algebraic inequality containing a parameter, the sum of reciprocals and the product of positive real numbers whose sum is 1. Using a new optimization argument the best values of the parameter are determined. In the case of three numbers the algebraic inequality has some interesting geometric applications involving a generalization of Euler’s inequality about the ratio
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Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction mapping J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-27 Vahid Roomi, Hojjat Afshari, Sabileh Kalantari
The existence of solutions for a class of μ-Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ-integral boundary conditions are investigated. We use F-contraction, convex F-contraction, and some consequences to achieve the desired goals. Finally, some examples are provided to illustrate the results.
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A Pexider system of additive functional equations in Banach algebras J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-23 Mehdi Dehghanian, Yamin Sayyari, Siriluk Donganont, Choonkil Park
In this paper, we solve the system of functional equations $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras.
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Approximation with Szász-Chlodowsky operators employing general-Appell polynomials J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Nusrat Raza, Manoj Kumar, M. Mursaleen
This article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted $\mathfrak{B}$ -statistical convergence and statistically weighted
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Generalized integral Jensen inequality J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Saeed Nazari Pasari, Ali Barani, Naser Abbasi
In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved.
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An application of decision theory on the approximation of a generalized Apollonius-type quadratic functional equation J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-20 Azam Ahadi, Reza Saadati, Tofigh Allahviranloo, Donal O’Regan
To make better decisions on approximation, we may need to increase reliable and useful information on different aspects of approximation. To enhance information about the quality and certainty of approximating the solution of an Apollonius-type quadratic functional equation, we need to measure both the quality and the certainty of the approximation and the maximum errors. To measure the quality of
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Approximating fixed points of weak enriched contractions using Kirk’s iteration scheme of higher order J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-14 Mi Zhou, Naeem Saleem, Mujahid Abbas
In this paper, we introduce two types of weak enriched contractions, namely weak enriched $\mathcal{F}$ -contraction, weak enriched $\mathcal{F^{\prime}}$ -contraction, and k-fold averaged mapping based on Kirk’s iterative algorithm of order k. The types of contractions introduced herein unify, extend, and generalize several existing classes of enriched and weak enriched contraction mappings. Moreover
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Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-14 Shazia Kanwal, Hüseyin Işık, Sana Waheed
The main purpose of this research article is to generalize Kannan-type fixed-point (FP) theorems for single-valued mappings and Chatterjea-type FP result for fuzzy mappings (FMs) in the context of complete strong b-metric spaces (MSs). Moreover, fuzzy FPs are established for Suzuki-type fuzzy contraction in the setting of complete strong b-MSs. The conclusions are supported by nontrivial examples to
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Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-13 P. V. Ndlovu, L. O. Jolaoso, M. Aphane, H. A. Abass
In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of pseudomonotone equilibrium and fixed point problem of a nonexpansive mapping in the setting of a Hadamard manifold. We prove that the sequence generated by our iterative method converges to a solution of the above problems under some mild conditions. Finally
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A note on Lototsky–Bernstein bases J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-06 Xiao-Wei Xu, Xin Yu, Jia-Lin Cui, Qing-Bo Cai, Wen-Tao Cheng
In this note, we study some approximation properties on a class of special Lototsky–Bernstein bases. We focus on approximation of $|x|$ on $[-1,1]$ by an approximation process generated from fixed points on Lototsky–Bernstein bases. Our first result shows that the approximation procedure $p_{n}(x)$ to $|x|$ preserves good shapes on $[-1,1]$ . Moreover, some convergence results and inequalities are
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Multiple positive solutions for Schrödinger-Poisson system with singularity on the Heisenberg group J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-05 Guaiqi Tian, Yucheng An, Hongmin Suo
In this work, we study the following Schrödinger-Poisson system $$ \textstyle\begin{cases} -\Delta _{H}u+\mu \phi u=\lambda u^{-\gamma}, &\text{in } \Omega , \\ -\Delta _{H}\phi =u^{2}, &\text{in } \Omega , \\ u>0, &\text{in } \Omega , \\ u=\phi =0, &\text{on } \partial \Omega , \end{cases} $$ where $\Delta _{H}$ is the Kohn-Laplacian on the first Heisenberg group $\mathbb{H}^{1}$ , and $\Omega \subset
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Higher order \((n,m)\)-Drazin normal operators J. Inequal. Appl. (IF 1.6) Pub Date : 2024-02-01 Hadi Obaid AlShammari
The purpose of this paper is to introduce and study the structure of p-tuple of $(n,m)$ - $\mathcal{D}$ -normal operators. This is a generalization of the class of p-tuple of n-normal operators. We consider a generalization of these single variable n- $\mathcal{D}$ -normal and $(n,m)$ - $\mathcal{D}$ -normal operators and explore some of their basic properties.
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Inverse logarithmic coefficient bounds for starlike functions subordinated to the exponential functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-31 Lei Shi, Muhammad Abbas, Mohsan Raza, Muhammad Arif, Poom Kumam
In recent years, many subclasses of univalent functions, directly or not directly related to the exponential functions, have been introduced and studied. In this paper, we consider the class of $\mathcal{S}^{\ast}_{e}$ for which $zf^{\prime}(z)/f(z)$ is subordinate to $e^{z}$ in the open unit disk. The classic concept of Hankel determinant is generalized by replacing the inverse logarithmic coefficient
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Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-31 H. M. Srivastava, Shahid Khan, Sarfraz Nawaz Malik, Fairouz Tchier, Afis Saliu, Qin Xin
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article. Under a special choice of the parameter involved, these two classes of Bazilevič functions reduce to two new subclasses of star-like biunivalent functions related with the Fibonacci-number series and the square-root functions
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A regularization method for solving the G-variational inequality problem and fixed-point problems in Hilbert spaces endowed with graphs J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Wongvisarut Khuangsatung, Akarate Singta, Atid Kangtunyakarn
This article considers and investigates a variational inequality problem and fixed-point problems in real Hilbert spaces endowed with graphs. A regularization method is proposed for solving a G-variational inequality problem and a common fixed-point problem of a finite family of G-nonexpansive mappings in the framework of Hilbert spaces endowed with graphs, which extends the work of Tiammee et al.
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Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad
Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions
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Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-30 Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George
In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with
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On a Duffing-type oscillator differential equation on the transition to chaos with fractional q-derivatives J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-25 Mohamed Houas, Mohammad Esmael Samei, Shyam Sundar Santra, Jehad Alzabut
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer fixed-point theorems). We also discuss the Ulam–Hyers and the Ulam–Hyers–Rassias stabilities of the mentioned Duffing problem. Finally, we present an
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Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-25 Muhammad Asim, Irshad Ayoob, Amjad Hussain, Nabil Mlaiki
In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ . Similar estimates are obtained for their commutators when the symbol functions belong to BMO space with variable exponents.
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A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-24 Graeme Auld, Kritsana Neammanee
We prove a nonuniform local limit theorem concerning approximation of the point probabilities $P(S=k)$ , where $S=\sum_{i=1}^{n}X_{i}$ , and $X_{1},\ldots ,X_{n}$ are independent Bernoulli random variables with possibly different success probabilities. Our proof uses Stein’s method, in particular, the zero bias transformation and concentration inequality approaches.
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A new reverse Mulholland’s inequality with one partial sum in the kernel J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-24 Xianyong Huang, Ricai Luo, Bicheng Yang, Xingshou Huang
By means of the techniques of real analysis, applying some basic inequalities and formulas, a new reverse Mulholland’s inequality with one partial sum in the kernel is given. We obtain the equivalent conditions of the parameters related to the best value in the new inequality. As applications, we reduce to the equivalent forms and a few inequalities for particular parameters.
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A matrix acting between Fock spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-23 Zhengyuan Zhuo, Dongxing Li, Tiaoying Zeng
If $\mathcal{H}_{\nu}=(\nu _{n,k})_{n,k\geq 0}$ is the matrix with entries $\nu _{n,k}=\int _{[0,\infty )}\frac{ t^{n+k}}{n!}\,d\nu (t)$ , where ν is a nonnegative Borel measure on the interval $[0,\infty )$ , the matrix $\mathcal{H}_{\nu}$ acts on the space of all entire functions $f(z) =\sum_{n=0}^{\infty} a_{n} z^{n}$ and induces formally the operator in the following way: $$ \mathcal{H}_{\nu}(f)
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Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-19 Mohammad Eslamian
In this paper, we study the generalized multiple-set split feasibility problem including the common fixed-point problem for a finite family of generalized demimetric mappings and the monotone inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem
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Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-19 Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators. We use test functions to prove a Korovkin-type convergence theorem. Then, we show the rate of convergence by the modulus of continuity and give a Voronovskaya-type theorem. We give a covergence
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The infimum values of two probability functions for the Gamma distribution J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-17 Ping Sun, Ze-Chun Hu, Wei Sun
Let α, β be positive real numbers and let $X_{\alpha ,\beta}$ be a Gamma random variable with shape parameter α and scale parameter β. We study infimum values of the function $(\alpha ,\beta )\mapsto P\{X_{\alpha ,\beta}\le \kappa E[X_{\alpha ,\beta}] \}$ for any fixed $\kappa >0$ and the function $(\alpha ,\beta )\mapsto P\{|X_{\alpha ,\beta}-E[X_{\alpha ,\beta}]| \le \sqrt{\operatorname{Var}(X_{\alpha
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Best proximity points for alternative p-contractions J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-16 Mi Zhou, Nicolae Adrian Secelean, Naeem Saleem, Mujahid Abbas
Cyclic mappings describe fixed paths for which each point is sequentially transmitted from one set to another. Cyclic mappings satisfying certain cyclic contraction conditions have been used to obtain the best proximity points, which constitute a suitable framework for the mirror reflection model. Alternative contraction mappings introduced by Chen (Symmetry 11:750, 2019) built a new model containing
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Some variants of the hybrid extragradient algorithm in Hilbert spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-12 Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Thidaporn Seangwattana, Zaffar Iqbal
This paper provides convergence analysis of some variants of the hybrid extragradient algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of the equilibrium problem and split fixed-point problem associated with the finite families of $\Bbbk $ -demicontractive mappings. We also incorporate appropriate numerical results concerning the viability of the proposed variants
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New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-10 İzzettin Demir, Tuba Tunç
Fractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous fields of mathematics and computer sciences. Due to its wide range of applications, we focus on the proportional Caputo-hybrid operator in this research
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Necessary and sufficient conditions for discrete inequalities of Jensen–Steffensen type with applications J. Inequal. Appl. (IF 1.6) Pub Date : 2024-01-02 László Horváth
In this paper we give a necessary and sufficient condition for the discrete Jensen inequality to be satisfied for real (not necessarily nonnegative) weights. The result generalizes and completes the classical Jensen–Steffensen inequality. The validity of the strict inequality is studied. As applications, we first give the form of our result for strongly convex functions, then we study discrete quasi-arithmetic
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-22 Sabri T. M. Thabet, Imed Kedim
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, supplemented by nonlocal, integral, and mixed boundary conditions. The equivalent integral equations of the proposed Katugampola–Hilfer fractional BVPs are established in the context of Green
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New refinements of the Cauchy–Bunyakovsky inequality J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-22 Saeed Montazeri
This paper presents new refinements on the integral form of Cauchy–Schwartz inequality known as Cauchy–Bunyakovsky inequality. It is proved that when we possess a weighted sum of a set of Cauchy–Bunyakovsky inequalities, there are two forms of refinements enhancing the precision of the original inequality. The superiority of one refinement over the other depends on the problem in which the presented
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Pareto vectors of continuous linear operators J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-21 Francisco Javier García-Pacheco
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology is the trivial topology. In this manuscript, we prove that this is the smallest closed submodule and thus replaces the null submodule in the Hausdorff setting. This fact motivates to introduce a new notion in operator theory called topological kernel
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On a logarithmic wave equation with nonlinear dynamical boundary conditions: local existence and blow-up J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-19 Nazlı Irkıl, Khaled Mahdi, Erhan Pişkin, Mohammad Alnegga, Salah Boulaaras
This paper deals with a hyperbolic-type equation with a logarithmic source term and dynamic boundary condition. Given convenient initial data, we obtained the local existence of a weak solution. Local existence results of solutions are obtained using the Faedo-Galerkin method and the Schauder fixed-point theorem. Additionally, under suitable assumptions on initial data, the lower bound time of the
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Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-13 Yongxiang Li, Pengbo Li
This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term $$ \textstyle\begin{cases} -\Delta_{p} u= K( \vert x \vert ) f( \vert x \vert , u, \vert \nabla u \vert ) ,\quad x\in\Omega , \\ \frac{\partial u}{\partial n}=0 ,\quad x\in\partial\Omega, \\ \lim_{ \vert x \vert \to\infty}u(x)=0 , \end{cases} $$ where $\Omega=\{x\in\mathbb{R}^{N}:
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On measure of noncompactness in variable exponent Lebesgue spaces and applications to integral equations J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-12 Mohamed M. A. Metwali
A novel measure of noncompactness is defined in variable exponent Lebesgue spaces $L^{p(\cdot )}$ on an unbounded domain $\mathbb{R}^{+}$ and its properties are examined. Using the fixed point method, we apply that measure to study the existence theorem for nonlinear integral equations. Our results can be handily applied in studying various types of (differential, integral, functional, and partial
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Estimation of q for \(\ell _{q}\)-minimization in signal recovery with tight frame J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-11 Kaihao Liang, Chaolong Zhang, Wenfeng Zhang
This study aims to reconstruct signals that are sparse with a tight frame from undersampled data by using the $\ell _{q}$ -minimization method. This problem can be cast as a $\ell _{q}$ -minimization problem with a tight frame subjected to an undersampled measurement with a known noise bound. We proved that if the measurement matrix satisfies the restricted isometry property with $\delta _{2s}\leq
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Sharpness of some Hardy-type inequalities J. Inequal. Appl. (IF 1.6) Pub Date : 2023-12-04 Lars-Erik Persson, Natasha Samko, George Tephnadze
The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure $dx/x$ . There are also derived some new two-sided Hardy-type inequalities for monotone functions, where not only the two constants are sharp but also the involved function spaces
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Moment inequalities for mixing long-span high-frequency data and strongly consistent estimation of OU integrated diffusion process J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-28 Shanchao Yang, Jiaying Xie, Shuyi Luo, Zhiyong Li, Xin Yang
Mixing is not much used in the high-frequency literature so far. However, mixing is a common weakly dependent property of continuous and discrete stochastic processes, such as Gaussian, Ornstein–Uhlenberck (OU), Vasicek, CIR, CKLS, logistic diffusion, generalized logistic diffusion, and double-well diffusion processes. So, long-span high-frequency data typically have weak dependence, and using mixing
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Sharp unifying generalizations of Opial’s inequality J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-22 Chris A. J. Klaassen
Opial’s inequality and its ramifications play an important role in the theory of differential and difference equations. A sharp unifying generalization of Opial’s inequality is presented that contains both its continuous and discrete versions. This generalization, based on distribution functions, is extended to the case of derivatives of arbitrary order. This extension optimizes and improves the constant
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Proximal linearized method for sparse equity portfolio optimization with minimum transaction cost J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-21 Hong Seng Sim, Wendy Shin Yie Ling, Wah June Leong, Chuei Yee Chen
In this paper, we propose a sparse equity portfolio optimization model that aims at minimizing transaction cost by avoiding small investments while promoting diversification to help mitigate the volatility in the portfolio. The former is achieved by including the $\ell _{0}$ -norm regularization of the asset weights to promote sparsity. Subjected to a minimum expected return, the proposed model turns
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Stability analysis for set-valued inverse mixed variational inequalities in reflexive Banach spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-20 Xiaolin Qu, Wei Li, Chenkai Xing, Xueping Luo
This work is devoted to the analysis for a new class of set-valued inverse mixed variational inequalities (SIMVIs) in reflexive Banach spaces, when both the mapping and the constraint set are perturbed simultaneously by two parameters. Several equivalence characterizations are given for SIMVIs to have nonempty and bounded solution sets. Based on the equivalence conditions, under the premise of monotone
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Midpoint-type inequalities via twice-differentiable functions on tempered fractional integrals J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-17 Fatih Hezenci, Hüseyin Budak
In this paper, we obtain an equality involving tempered fractional integrals for twice-differentiable functions. By using this equality, we establish several left Hermite–Hadamard-type inequalities for the case of tempered fractional integrals. Moreover, we derive our results by using special cases of obtained theorems.
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Noise-induced transitions in an avian influenza model with the Allee effect J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-17 Xiaoxia Guo
This paper presents noise-induced transitions in a stochastic avian influenza model with Allee effect. In the deterministic case, one of three disease-free equilibria is always globally asymptotically stable in its attractive domain, and there is a unique endemic equilibrium when the basic reproduction number $R_{0}>1$ . In the stochastic case, a new dynamic phenomenon of noise-induced transition can
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Stochastic stability of solutions for a fourth-order stochastic differential equation with constant delay J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-15 Ayman M. Mahmoud, Adebayo O. Adewumi, Adeleke T. Ademola
In this paper, we present sufficient conditions to ensure the stochastic asymptotic stability of the zero solution for a specific type of fourth-order stochastic differential equation (SDE) with constant delay. By reducing the fourth-order SDE to a system of first-order SDEs, we utilize a fourth-order quadratic function to derive an appropriate Lyapunov functional. This functional is then employed
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Delta-Sincov mappings in Banach algebras J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-10 Włodzimierz Fechner, Aleksandra Świątczak
We study solutions and approximate solutions of the multiplicative Sincov equation $$ T(f, h) = T(f, g)T(g, h) $$ for mapping T taking values in a commutative Banach algebra.
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Infinitely many radial solutions of superlinear elliptic problems with dependence on the gradient terms in an annulus J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-10 Yan Zhu, Ruyun Ma, Xiaoxiao Su
In this paper, we are concerned with elliptic problems $$ \textstyle\begin{cases} -\Delta u= f(u)+ g( \vert x \vert ,u,\frac{x}{ \vert x \vert }\cdot \nabla u),&x\in \Omega , \\ u|_{\partial \Omega}=0, \end{cases} $$ where $\Omega =\{x\in \mathbb{R}^{N}:R_{1}<|x|2$ , $0< R_{1}0$ , $0<\beta < \frac{1}{4(R_{2}-R_{1})^{2}}$ . We obtain infinitely many radial solutions with prescribed nodal properties
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Approximation of solutions to integro-differential time fractional order parabolic equations in \(L^{p}\)-spaces J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-09 Yongqiang Zhao, Yanbin Tang
In this paper we study the initial boundary value problem for a class of integro-differential time fractional order parabolic equations with a small positive parameter ε. Using the Laplace transform, Mittag-Leffler operator family, $C_{0}$ -semigroup, resolvent operator, and weighted function space, we get the existence of a mild solution. For suitable indices $p\in [1,+\infty )$ and $s\in (1,+\infty
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Fixed-point theorems of \({F}^{\star}- ( \psi,\phi )\) integral-type contractive conditions on \(1_{E}\)-complete multiplicative partial cone metric spaces over Banach algebras and applications J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-08 Nashat Faried, Sahar Mohamed Ali Abou Bakr, H. Abd El-Ghaffar, S. S. Solieman Almassri
In this paper, we introduce some user-friendly versions of integral-type fixed-point results and give some modifications of the classical Banach contraction principle by constructing a special type of contractive restrictions of integral forms for weak contraction mappings defined on $1_{E}$ -complete multiplicative partial cone metric spaces over Banach algebras and formulate some existence and uniqueness
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Upper bounds of the logarithmic coefficients for some subclasses of analytic functions J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-08 Ebrahim Analouei Adegani, Mostafa Jafari, Teodor Bulboacă, Nak Eun Cho
Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for some expressions associated with logarithmic coefficients of functions that belong to some well-known classes of analytic functions in the open unit disk of the complex plane.
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A remark about asymptotic stability in Duffing equations: lateral stability in Comb-drive finger MEMS J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-03 D. Núñez, L. Murcia
In this short paper we tackle two subjects. First, we provide a lower bound for the first eigenvalue of the antiperiodic problem for a Hill’s equation based on $L^{p}$ -conditions, and as a consequence, we introduce an adjusted statement of the main result about the asymptotic stability of periodic solutions for the general Duffing equation in (Torres in Mediterr. J. Math. 1(4):479–486, 2004) (Theorem 4)
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Outer approximated projection and contraction method for solving variational inequalities J. Inequal. Appl. (IF 1.6) Pub Date : 2023-11-02 V. A. Uzor, O. T. Mewomo, T. O. Alakoya, A. Gibali
In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection onto the associated feasible set. Thus, when the involved set is not simple to project onto, then the applicability and computational effort of the proposed method could be arguable. One such scenario is when the given set is represented as a finite intersection
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A new type of Szász–Mirakjan operators based on q-integers J. Inequal. Appl. (IF 1.6) Pub Date : 2023-10-31 Pembe Sabancigil, Nazim Mahmudov, Gizem Dagbasi
In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments $\Phi _{n,q}(t^{m};x)$ for $m=0,1,2$ and the central moments $\Phi _{n,q}((t-x)^{m};x)$ for $m=1,2$ . We give estimation for the first and second-order central moments. We present a Korovkin type approximation theorem
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Second-order optimality conditions for interval-valued functions J. Inequal. Appl. (IF 1.6) Pub Date : 2023-10-31 Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez, Antonio Rufián-Lizana, Antonio Beato-Moreno
This work is included in the search of optimality conditions for solutions to the scalar interval optimization problem, both constrained and unconstrained, by means of second-order optimality conditions. As it is known, these conditions allow us to reject some candidates to minima that arise from the first-order conditions. We will define new concepts such as second-order gH-derivative for interval-valued
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A new fixed-time stability of neural network to solve split convex feasibility problems J. Inequal. Appl. (IF 1.6) Pub Date : 2023-10-27 Jinlan Zheng, Rulan Gan, Xingxing Ju, Xiaoqing Ou
In this paper, we propose a novel neural network that achieves stability within the fixed time (NFxNN) based on projection to solve the split convex feasibility problems. Under the bounded linear regularity assumption, the NFxNN admits a solution of the split convex feasibility problem. We introduce the relationships between NFxNN and the corresponding neural networks. Additionally, we also prove the
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A new class of fractional inequalities through the convexity concept and enlarged Riemann–Liouville integrals J. Inequal. Appl. (IF 1.6) Pub Date : 2023-10-25 Abd-Allah Hyder, Mohamed A. Barakat, Ahmed H. Soliman
Fractional inequalities play a crucial role in building mathematical mechanisms and their related solution functions across the majority of practical science domains. A variety of mathematical disciplines are significantly impacted by convexity as well. In this article, we describe and verify many new fractional inequalities using a thorough kind of Riemann–Liouville integral and the convexity criterion