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DNA codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 C. A. Castillo-Guillén,C. Álvarez-García
Abstract A one to one correspondence between the elements of a finite local Frobenius non-chain ring of length 5 and nilpotency index 4, and k-tuples of DNA codewords is established. Using this map the structure of DNA codes over these rings is determined, the length of the code is relatively prime to the characteristic of the residue field of the ring.
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A Study on Commutative Elliptic Octonion Matrices Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Arzu Cihan Sürekçi,Mehmet Ali Güngör
Abstract In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of eigenvalue and eigenvector are studied for commutative elliptic octonion matrices. In this regard, the fundamental theorem of algebra and
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On characterization of finite modules by hypergraphs Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Ali Reza Moniri Hamzekolaee,Morteza Norouzi
Abstract With a finite R-module M we associate a hypergraph 𝒞𝒥ℋ R (M) having the set V of vertices being the set of all nontrivial submodules of M. Moreover, a subset Ei of V with at least two elements is a hyperedge if for K, L in Ei there is K ∩ L ≠ = 0 and Ei is maximal with respect to this property. We investigate some general properties of 𝒞𝒥ℋ R (M), providing condition under which 𝒞𝒥ℋ R
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On the sum of the reciprocals of k-generalized Fibonacci numbers Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Adel Alahmadi,Florian Luca
Abstract In this note, we that if { F n ( k ) } n ≥ 0 {\left\{ {F_n^{\left( k \right)}} \right\}_{n \ge 0}} denotes the k-generalized Fibonacci sequence then for n ≥ 2 the closest integer to the reciprocal of ∑ m ≥ n 1 / F m ( k ) \sum\nolimits_{m \ge n} {1/F_m^{\left( k \right)}} is F n ( k ) − F n − 1 ( k ) F_n^{\left( k \right)} - F_{n - 1}^{\left( k \right)} .
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Class of Sheffer stroke BCK-algebras Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Tahsin Oner,Tugce Kalkan,Arsham Borumand Saeid
Abstract In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent. The relationship between a Sheffer stroke BCK-algebra and a BCK-algebra is stated. After describing a commutative, an implicative and an involutory Sheffer stroke BCK-algebras, some of important properties are proved. The relationship
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Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Kanika Dhawan,Ramesh Kumar Vats,Ravi P. Agarwal
Abstract In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and uniqueness of the solution of the proposed problem in the weighted space of continuous functions. For the defined problem, sufficient conditions have
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Different approach on elliptic curves mathematical models study and their applications Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Ramzi Alsaedi,Abdelwahab Dhifli,Abdeljabbar Ghanmi
Abstract In a research project in which a group of mathematical researchers is involved, it was necessary to create a system of nonlinear equations defined over a particular nonsupersingular elliptic space. This paper presents a part of the results obtained in this field, as well as the applications where the built models has been demonstrated their reliability.
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Stochastic orders of log-epsilon-skew-normal distributions Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Luigi-Ionut Catana
Abstract The log-epsilon-skew-normal distributions family is generalized class of log-normal distribution. Is widely used to model non-negative data in many areas of applied research. We give necessary and/or sufficient conditions for some stochastic orders of log-epsilon-skew-normal distributions. Also, we give sufficient conditions for orders of moments and Gini indexes. Finally, it is presented
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Generating punctured surface triangulations with degree at least 4 Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 María-José Chávez,Seiya Negami,Antonio Quintero,María Trinidad Villar-Liñán
Abstract As a sequel of a previous paper by the authors, we present here a generating theorem for the family of triangulations of an arbitrary punctured surface with vertex degree ≥ 4. The method is based on a series of reversible operations termed reductions which lead to a minimal set of triangulations in such a way that all intermediate triangulations throughout the reduction process remain within
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Complete parts and subhypergroups in reversible regular hypergroups Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 V. Leoreanu-Fotea,P. Corsini,A. Sonea,D. Heidari
Abstract In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts. After an introduction in which basic notions and results of hypergroup theory are presented, particularly complete parts, then we give several properties, characterisations and also
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Prime preideals on bounded EQ-algebras Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 N. Akhlaghinia,R. A. Borzooei,M. Aaly Kologani
Abstract EQ-algebras were introduced by Novák in [14] as an algebraic structure of truth values for fuzzy type theory (FFT). In [1], Borzooei et. al. introduced the notion of preideal in bounded EQ-algebras. In this paper, we introduce various kinds of preideals on bounded EQ-algebras such as Λ-prime, ⊗-prime, ∩-prime, ∩-irreducible, maximal and then we investigate some properties and the relations
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On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Daniel Breaz,Adriana Cătaş,Luminiţa-Ioana Cotîrlă
Abstract In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f′ (0)−1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant H 3(1) for this function class and obtain the upper bound of the determinant H 3(1).
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Nearest neighbor estimates of Kaniadakis entropy Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Ioana Dănilă-Cernat
Abstract The aim of this paper is to develop new nonparametric estimators of entropy based on the kth nearest neighbor distances that are considered between n sample points, k ≤ (n − 1) being a positive integer, fixed. The Method consists in using the new estimators which were useful in order to evaluate the entropies for random vectors. As results, using the Kaniadakis entropy measure, the asymptotic
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Algebraic dependence and finiteness problems of differentiably nondegenerate meromorphic mappings on Kähler manifolds Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2022-02-01 Si Duc Quang
Abstract Let M be a complete Kähler manifold, whose universal covering is biholomorphic to a ball 𝔹 m (R 0) in ℂ m (0 < R 0 +∞). Our first aim in this paper is to study the algebraic dependence problem of differentiably meromorphic mappings. We will show that if k differentibility nonde-generate meromorphic mappings f 1, …, fk of M into ℙ n (ℂ) (n ≥ 2) satisfying the condition (Cρ ) and sharing few
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Bounds for the minimum distance function Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Luis Núñez-Betancourt,Yuriko Pitones,Rafael H. Villarreal
Abstract Let I be a homogeneous ideal in a polynomial ring S. In this paper, we extend the study of the asymptotic behavior of the minimum distance function δI of I and give bounds for its stabilization point, rI , when I is an F -pure or a square-free monomial ideal. These bounds are related with the dimension and the Castelnuovo–Mumford regularity of I.
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On the r-dynamic coloring of some fan graph families Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Raúl M. Falcón,M. Venkatachalam,S. Gowri,G. Nandini
Abstract In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph invariant for four related families of graphs: The middle graph M(Fm,n ), the total graph T (Fm,n ), the central graph C(Fm,n ) and the line graph L(Fm,n ). In addition, we determine the r-dynamic chromatic number of each one of these four families of graphs in case of
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Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Saïd Abbas,Mouffak Benchohra,Erdal Karapınar
Abstract In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.
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On the Complex and Chaotic Dynamics of Standard Logistic Sine Square Map Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Sudesh Kumari,Renu Chugh,Radu Miculescu
Abstract In this article, we set up a new nonlinear dynamical system which is derived by combining logistic map and sine square map in Mann orbit (a two step feedback process) for ameliorating the stability performance of chaotic system and name it Standard Logistic Sine Square Map (SLSSM). The purpose of this paper is to study the whole dynamical behavior of the proposed map (SLSSM) through various
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Generalized Helicoidal Surfaces in Euclidean 5-space Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Ali Uçum,Makoto Sakaki
Abstract In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.
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Mixed Mode Crack Propagation in Iliac Bone Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 E. Baesu,DM. Iliescu,BV. Radoiu,S. Halichidis
Abstract Bone is a complex material that can be regarded as an anisotropic elastic composite material. The problem of crack propagation in human bone is analyzed by using a generalization of the maximum tensile stress criterion (MTS). The results concern the critical stress for crack propagation and the direction of the crack path in Iliac bone.
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On numerical solution of nonlinear parabolic multicomponent diffusion-reaction problems Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Gh. Juncu,C. Popa,Gh. Sarbu
Abstract This work continues our previous analysis concerning the numerical solution of the multi-component mass transfer equations. The present test problems are two-dimensional, parabolic, non-linear, diffusion- reaction equations. An implicit finite difference method was used to discretize the mathematical model equations. The algorithm used to solve the non-linear system resulted for each time
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Non-autonomous weighted elliptic equations with double exponential growth Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Sami Baraket,Rached Jaidane
Abstract We consider the existence of solutions of the following weighted problem: { L : = - d i v ( ρ ( x ) | ∇ u | N - 2 ∇ u ) + ξ ( x ) | u | N - 2 u = f ( x , u ) i n B u > 0 i n B u = 0 o n ∂ B , \left\{ {\matrix{{L: = - div\left( {\rho \left( x \right){{\left| {\nabla u} \right|}^{N - 2}}\nabla u} \right) + \xi \left( x \right){{\left| u \right|}^{N - 2}}} \hfill & {u = f\left( {x,u} \right)}
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An approximate Taylor method for Stochastic Functional Differential Equations via polynomial condition Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Dušan D. Djordjević,Marija Milošević
Abstract The subject of this paper is an analytic approximate method for a class of stochastic functional differential equations with coefficients that do not necessarily satisfy the Lipschitz condition nor linear growth condition but they satisfy some polynomial conditions. Also, equations from the observed class have unique solutions with bounded moments. Approximate equations are defined on partitions
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Session centered Recommendation Utilizing Future Contexts in Social Media Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Sanjeev Dhawan,Kulvinder Singh,Adrian Rabaea,Amit Batra
Abstract Session centered recommender systems has emerged as an interesting and challenging topic amid researchers during the past few years. In order to make a prediction in the sequential data, prevailing approaches utilize either left to right design autoregressive or data augmentation methods. As these approaches are used to utilize the sequential information pertaining to user conduct, the information
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On 1-absorbing δ-primary ideals Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Abdelhaq El Khalfi,Najib Mahdou,Ünsal Tekir,Suat Koç
Abstract Let R be a commutative ring with nonzero identity. Let 𝒥(R) be the set of all ideals of R and let δ : 𝒥 (R) → 𝒥 (R) be a function. Then δ is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J ⊆ I, we have L ⊆ δ (L) and δ (J) ⊆ δ (I). Let δ be an expansion function of ideals of R. In this paper, we introduce and investigate a new class of ideals that is
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Bounds for the zeros of unilateral octonionic polynomials Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Rogério Serôdio,P. D. Beites,José Vitória
Abstract In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix. This allows the use of matricial norms, and matrix norms in particular, to obtain upper and lower bounds for the zeros of unilateral octonionic polynomials. Some results valid for complex and/or matrix polynomials are extended
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On the exponential Diophantine equation mx +(m+1) y =(1+m+m 2) z Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 Murat Alan
Abstract Let m > 1 be a positive integer. We show that the exponential Diophantine equation mx + (m + 1) y = (1 + m + m 2) z has only the positive integer solution (x, y, z) = (2, 1, 1) when m ≥ 2.
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Irreducible skew polynomials over domains Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-11-01 C. Brown,S. Pumplün
Abstract Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degree polynomials in quantized Weyl algebras and the quantum planes. We also consider f(t) = tm − a ∈ R.
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Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Sajad Ranjbar
Abstract In this paper, in the setting of Hadamard spaces, a iterative scheme is proposed for approximating a solution of the inclusion problem for a finite family of monotone operators which is a unique solution of a variational inequality. Some applications in convex minimization and fixed point theory are also presented to support the main result.
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Numerical solution of two-dimensional nonlinear fractional order reaction-advection-diffusion equation by using collocation method Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Manpal Singh,S. Das,Rajeev,E-M. Craciun
Abstract In this article, two-dimensional nonlinear and multi-term time fractional diffusion equations are solved numerically by collocation method, which is used with the help of Lucas operational matrix. In the proposed method solutions of the problems are expressed in terms of Lucas polynomial as basis function. To determine the unknowns, the residual, initial and boundary conditions are collocated
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Analysis of Control Interventions against Malaria in communities with Limited Resources Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 E.A. Bakare,B.O. Onasanya,S. Hoskova-Mayerova,O. Olubosede
Abstract The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal control strategies and provide a basis for future predictions of the most effective control measures against the spread of malaria. We developed a population-based model of malaria transmission dynamics to investigate the effectiveness
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The extensibility of the Diophantine triple {2, b, c} Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Nikola Adžaga,Alan Filipin,Ana Jurasić
Abstract The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple. We succeed in that for some families of c’s (depending on b). As corollary, for example, we prove that for b/2 − 1 prime, all Diophantine quadruples {2, b, c, d} with 2 < b < c < d are regular.
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A Benchmark Generalization of Fuzzy Soft Ideals in Ordered Semigroups Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Faiz Muhammad Khan,Violeta Leoreanu-Fotea,Saifullah,Amanullah
Abstract In real life, variability and inaccuracy are always presentand must be calculated by either possibilistic, probabilistic, polymorphic or other uncertainty approach. This benchmark study is about to construct new types of fuzzy soft ideals i.e., (∈, ∈ ∨qk )-FSR(L)Is of ordered semigroup(OSG). Based on this inception, fuzzy soft level subsets are defined which link ordinary ideals with (∈, ∈
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Sums and products of intervals in ordered semigroups Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 T. Glavosits,Zs. Karácsony
Abstract We show a simple example for ordered semigroup 𝕊 = 𝕊 (+,⩽) that 𝕊 ⊆ℝ (ℝ denotes the real line) and ]a, b[ + ]c, d[ = ]a + c, b + d[ for all a, b, c, d ∈ 𝕊 such that a < b and c < d, but the intervals are no translation invariant, that is, the equation c +]a, b[ = ]c + a, c + b[ is not always fulfilled for all elements a, b, c ∈ 𝕊 such that a < b. The multiplicative version of the above
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On weakly S-prime ideals of commutative rings Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Fuad Ali Ahmed Almahdi,El Mehdi Bouba,Mohammed Tamekkante
Abstract Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a weakly S-prime ideal of R if there exists an s ∈ S such that, for all a, b ∈ R, if 0 ≠ ab ∈ P, then sa ∈ P or sb ∈ P. We show that weakly
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Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Chao Wang,Zhien Li,Ravi P. Agarwal
Abstract In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained. Based on this, the fundamental solution matrix and corresponding Cauchy matrix for a class of quaternion matrix dynamic equation with combined derivatives
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Self dual, reversible and complementary duals constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4. Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 C. A. Castillo-Guillén,C. Álvarez-García
Abstract Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established and the algebraic characterization of self-dual, reversible γ-constacyclic codes and γ-constacyclic codes with complementary dual are given
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Two Points Taylor’s Type Representations for Analytic Complex Functions with Integral Remainders Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Silvestru Sever Dragomir
Abstract In this paper we establish some two point weighted Taylor’s expansions for analytic functions f : D ⊆ ℂ→ ℂ defined on a convex domain D. Some error bounds for these expansions are also provided. Examples for the complex logarithm and the complex exponential are also given.
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A note on the ternary Diophantine equation x 2 − y 2 m = z n Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Attila Bérczes,Maohua Le,István Pink,Gökhan Soydan
Abstract Let ℕ be the set of all positive integers. In this paper, using some known results on various types of Diophantine equations, we solve a couple of special cases of the ternary equation x2 − y2m = zn , x, y, z, m, n ∈ ℕ, gcd(x, y) = 1, m ≥ 2, n ≥ 3.
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Notes on the zero-divisor graph and annihilating-ideal graph of a reduced ring Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Mehdi Badie
Abstract We translate some graph properties of 𝔸𝔾(R) and Γ(R) to some topological properties of Zariski topology. We prove that the facts “(1) The zero ideal of R is an anti fixed-place ideal. (2) Min(R) does not have any isolated point. (3) Rad(𝔸𝔾 (R)) = 3. (4) Rad(Γ(R)) = 3. (5) Γ(R) is triangulated (6) 𝔸𝔾 (R) is triangulated.” are equivalent. Also, we show that if the zero ideal of a ring
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Lp -dual three mixed quermassintegrals Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Chang-Jian Zhao,Mihály Bencze
Abstract In the paper, the concept of Lp -dual three-mixed quermassintegrals is introduced. The formula for the Lp -dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp -Minkowski, and Brunn-Minkowski type for the Lp -dual three-mixed quermassintegrals are established. The new Lp -Minkowski inequality is obtained that generalize a family of Minkowski
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A Generalization of Archimedes’ Theorem on the Area of a Parabolic Segment Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-06-01 Armen Grigoryan,Szymon Ignaciuk,Maciej Parol
Abstract Archimedes’ well known theorem on the area of a parabolic segment says that this area is 4/3 of the area of a certain inscribed triangle. In this paper we generalize this theorem to the n-dimensional euclidean space, n ≥ 3. It appears that the ratio of the volume of an n-dimensional solid bounded by an (n − 1)-dimensional hyper-paraboloid and an (n − 1)-dimensional hyperplane and the volume
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On Quaternion-Gaussian Fibonacci Numbers and Their Properties Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Serpil Halici,Gamaliel Cerda-Morales
Abstract We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients. Using the Binet form we prove fundamental relations between these numbers. Moreover, we investigate whether the quaternions newly defined provide existing some important identities such as Cassini’s
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Stochastic orders for a multivariate Pareto distribution Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Luigi-Ionut Catana
Abstract In this article we give some theoretical results for equivalence between different stochastic orders of some kind multivariate Pareto distribution family. Weak multivariate orders are equivalent or imply different stochastic orders between extremal statistics order of two random variables sequences. The random variables in this article are not neccesary independent.
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Gődel filters in residuated lattices Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Dana Piciu,Christina Theresia Dan,Anca Dina
Abstract In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the connections between these filters and other types of filters. Using Gődel filters we characterize the residuated lattices which are Gődel algebras
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Coincidence and Common Fixed Point Theorems via ϱ-Class Functions in Elliptic Valued Metric Spaces Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Mahpeyker Öztürk,Işıl A. Kösal,Hidayet H. Kösal
Abstract The main goal of this study is to define a new metric space which is a generalization of complex valued metric spaces introduced by Azam et al. [1] using the set of elliptic numbers 𝔼 p = { ∈ = υ + i ω : υ , ω ∈ ℝ , i 2 = p < 0 } , {\mathbb{E}_p} = \left\{ { \in = \upsilon + i\omega :\upsilon ,\omega \in \mathbb{R},\,\,{i^2} = p < 0} \right\}, and this space is named as an elliptic valued
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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Hadi Khatibzadeh,Hadi Pouladi
Abstract In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem. The main result shows that the sequence given by the inductive means of iterations of an affine nonexpansive mapping with a nonempty fixed point set converges strongly
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Univalence Criteria for some General Integral Operators Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Camelia Bărbatu,Daniel Breaz
Abstract The main object of this paper is to extend the univalent condition for two general integral operators. A number of known univalent condition would follow upon specializing the parameters involved in our main results.
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New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Ilker Akkus,Gonca Kizilaslan
Abstract We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.
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Offset Ruled Surface in Euclidean Space with Density Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Neslihan Ulucan,Mahmut Akyigit
Abstract In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied. In addition, the relationships between the mean curvature and mean curvature with density, and the Gaussian curvature and the Gaussian curvature with density of the offset ruled surfaces
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Topological Transversality Coincidence Theory for Multivalued Maps with Selections in a Given Class Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Donal O’Regan
Abstract This paper presents the topological transversality coincidence theorem for general multivalued maps who have selections in a given class of maps.
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Extension of the Sophomore’s Dream Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Gábor Román
Abstract In this article, we are going to look at the convergence properties of the integral ∫ 0 1 ( a x + b ) c x + d d x \int_0^1 {{{\left( {ax + b} \right)}^{cx + d}}dx} , and express it in series form, where a, b, c and d are real parameters.
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On some new results for the generalised Lucas sequences Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Dorin Andrica,Ovidiu Bagdasar,George Cătălin Ţurcaş
Abstract In this paper we introduce the functions which count the number of generalized Lucas and Pell-Lucas sequence terms not exceeding a given value x and, under certain conditions, we derive exact formulae (Theorems 3 and 4) and establish asymptotic limits for them (Theorem 6). We formulate necessary and sufficient arithmetic conditions which can identify the terms of a-Fibonacci and a-Lucas sequences
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Filters of strong Sheffer stroke non-associative MV-algebras Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Tahsin Oner,Tugce Katican,Arsham Borumand Saeid,Mehmet Terziler
Abstract In this paper, at first we study strong Sheffer stroke NMV-algebra. For getting more results and some classification, the notions of filters and subalgebras are introduced and studied. Finally, by a congruence relation, we construct a quotient strong Sheffer stroke NMV-algebra and isomorphism theorems are proved.
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Invariance property of a five matrix product involving two generalized inverses Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 Bo Jiang,Yongge Tian
Abstract Matrix expressions composed by generalized inverses can generally be written as f(A − 1, A − 2, . . ., A − k ), where A 1, A 2, . . ., A k are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix. Once such an expression is given, people are primarily interested in its uniqueness (invariance property) with respect to the choice of the generalized
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Qualitative results in thermoelasticity of type III for dipolar bodies Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2021-03-01 M. Marin,S. Vlase,A. Öchsner
Abstract In our study we formulated the mixed initial boundary value problem corresponding to the thermoelasticity of type III for bodies with dipolar structure. In main section we approached four qualitative results regarding the solutions for this problem. In two of these (in the first two theorems) we obtained two results of uniqueness, proved in different ways. Also, we proven two results which
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Approximation of functions with linear positive operators which fix {1, φ} and {1, φ2} Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2020-12-01 Fuat Usta
Abstract In this manuscript, linear and positive operators described on bounded and unbounded intervals that fix the function sets {1, φ} and {1, φ2} such that φ ∈ C[0, 1] are presented. Then we present different types of operators by choosing different functions and values. Finally, Voronovskaya type theorems are given for this newly defined sequences of linear and positive operators.
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New aspects in polygroup theory Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2020-12-01 Andromeda Cristina Sonea
Abstract The aim of this paper is to compute the commutativity degree in polygroup’s theory, more exactly for the polygroup PG and for extension of polygroups by polygroups, obtaining boundaries for them. Also, we have analyzed the nilpotencitiy of 𝒜[], meaning the extension of polygroups 𝒜 and .
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Null scrolls with prescribed curvatures in Lorentz-Minkowski 3-space Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2020-12-01 Željka Milin Šipuš, Ljiljana Primorac Gajčić, Ivana Protrka
Abstract In Lorentz-Minkowski 3-space, null scrolls are ruled surfaces with a null base curve and null rulings. Their mean, as well as their Gaussian curvature, depends only on a parameter of a base curve. In the present paper, we obtain the first-order nonlinear differential equation (Riccati equation) which relates curvatures of a base curve to curvatures of a null scroll. Conditioned by this equation
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The modified Ishikawa iteration process with errors in CAT(0) spaces Analele Univ. Ovidius Constanta - Ser. Mat. (IF 0.886) Pub Date : 2020-12-01 Sajad Ranjbar
Abstract In this article, Δ-convergence and strong convergence of the modified Ishikawa iteration process with errors are established for continuous mappings of asymptotically nonexpansive type in CAT(0) spaces. Our results extend and improve the previous results given by many authors.