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Divisible extension of probability Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Roman Frič; Peter Eliaš; Martin Papčo
We outline the transition from classical probability space (Ω, A, p) to its "divisible" extension, where (as proposed by L. A. Zadeh) the σ-field A of Boolean random events is extended to the class 𝓜(A) of all measurable functions into [0,1] and the σ-additive probability measure p on A is extended to the probability integral ∫(·) dp on 𝓜(A). The resulting extension of (Ω, A,p) can be described as
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The lattices of 𝔏-fuzzy state filters in state residuated lattices Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Pengfei He; Juntao Wang; Jiang Yang
In the paper, we introduce 𝔏-fuzzy state filters in state residuated lattices and investigate their related properties, where 𝔏 is a complete Heyting algebra. Moreover, we study the 𝔏-fuzzy state co-annihilator of an 𝔏-fuzzy set with respect to an 𝔏-fuzzy state filter. Finally, using the 𝔏-fuzzy state co-annihilator, we investigate lattice structures of the set of some types of 𝔏-fuzzy state
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Fuzzy deductive systems of RM algebras Math. Slovaca (IF 0.654) Pub Date : 2020-12-10
The theory of fuzzy deductive systems in RM algebras is developed. Various characterizations of fuzzy deductive systems are given. It is proved that the set of all fuzzy deductive systems of a RM algebra 𝒜 is a complete lattice (it is distributive if 𝒜 is a pre-BBBCC algebra). Some characterizations of Noetherian RM algebras by fuzzy deductive systems are obtained. In pre-BBBZ algebras, the fuzzy
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Computation of several Hessenberg determinants Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Feng Qi; Omran Kouba; Issam Kaddoura
In the paper, employing methods and techniques in analysis and linear algebra, the authors find a simple formula for computing an interesting Hessenberg determinant whose elements are products of binomial coefficients and falling factorials, derive explicit formulas for computing some special Hessenberg and tridiagonal determinants, and alternatively and simply recover some known results.
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Efficient message transmission via twisted Edwards curves Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Bariş Bülent Kirlar
In this paper, we suggest a novel public key scheme by incorporating the twisted Edwards model of elliptic curves. The security of the proposed encryption scheme depends on the hardness of solving elliptic curve version of discrete logarithm problem and Diffie-Hellman problem. It then ensures secure message transmission by having the property of one-wayness, indistinguishability under chosen-plaintext
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A new kumaraswamy generalized family of distributions: Properties and applications Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Muhammad Adnan Hussain; Muhammad Hussain Tahir; Gauss M. Cordeiro
The Kumaraswamy generalized family of distributions proposed by Cordeiro and de-Castro (2011), has received increased attention in modern distribution theory with 624 google citations, and more than 50 special models have been studied so far. We define another generator, and then propose a new Kumaraswamy generalized family of distributions by inducting this new generator. Some useful properties of
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Strong convergence of the functional nonparametric relative error regression estimator under right censoring Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Omar Fetitah; Ibrahim M. Almanjahie; Mohammed Kadi Attouch; Ali Righi
In this paper, we investigate the asymptotic properties of a nonparametric estimator of the relative error regression given a functional explanatory variable, in the case of a scalar censored response, we use the mean squared relative error as a loss function to construct a nonparametric estimator of the regression operator of these functional censored data. We establish the strong almost complete
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Asymptotic behavior of the records of multivariate random sequences in a norm sense Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Haroon M. Barakat; M. H. Harpy
In this paper, we investigate the asymptotic behavior of the multivariate record values by using the Reduced Ordering Principle (R-ordering). Necessary and sufficient conditions for weak convergence of the multivariate record values based on sup-norm are determined. Some illustrative examples are given.
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Coarse cohomology with twisted coefficients Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Elisa Hartmann
To a coarse structure we associate a Grothendieck topology which is determined by coarse covers. A coarse map between coarse spaces gives rise to a morphism of Grothendieck topologies. This way we define sheaves and sheaf cohomology on coarse spaces. We obtain that sheaf cohomology is a functor on the coarse category: if two coarse maps are close they induce the same map in cohomology. There is a coarse
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The Poincaré-Cartan forms of one-dimensional variational integrals Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Veronika Chrastinová; Václav Tryhuk
Fundamental concepts for variational integrals evaluated on the solutions of a system of ordinary differential equations are revised. The variations, stationarity, extremals and especially the Poincaré-Cartan differential forms are relieved of all additional structures and subject to the equivalences and symmetries in the widest possible sense. Theory of the classical Lagrange variational problem eventually
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A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Rale M. Nikolić; Vladimir T. Ristić; Nataša A. Ćirović
In this paper we prove existence and uniqueness of a common fixed point for non-self coincidentally commuting mappings with nonlinear, generalized contractive condition defined on strictly convex Menger PM-spaces proved.
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Disjointness of composition operators on Hv0 spaces Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Yu-Xia Liang; Ze-Hua Zhou
The disjoint properties of finitely many composition operators acting on the weighted Banach spaces of holomorphic functions in the unit disk were investigated in this paper.
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Remarks on some generalization of the notion of microscopic sets Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Aleksandra Karasińska
We consider properties of defined earlier families of sets which are microscopic (small) in some sense. An equivalent definition of considered families is given, which is helpful in simplifying a proof of the fact that each Lebesgue null set belongs to one of these families. It is shown that families of sets microscopic in more general sense have properties analogous to the properties of the σ-ideal
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On the exponential Diophantine equation Pxn + Pxn+1 + ⋯ + Pxn+k-1 = Pm Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Florian Luca; Euloge Tchammou; Alain Togbé
In this paper, we find all the solutions of the title Diophantine equation in positive integers (m, n, k, x), where Pi is the ith term of the Pell sequence.
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EQ-Modules Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Batoul Ganji Saffar
In this paper, we apply the module theory to EQ-algebras and we introduce EQ-modules, multiplication EQ-modules and investigate some properties about them. Then we construct the fraction of EQ-algebras, the fraction of EQ-modules, and prove some related results.
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Central lifting property for orthomodular lattices Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Neda Arjomand Kermani; Esfandiar Eslami; Arsham Borumand Saeid
We introduce and investigate central lifting property (CLP) for orthomodular lattices as a property whereby all central elements can be lifted modulo every p-ideal. It is shown that prime ideals, maximal ideals and finite p-ideals have CLP. Also Boolean algebras, simple chain finite orthomodular lattices, subalgebras of an orthomodular lattices generated by two elements and finite orthomodular lattices
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Congruence pairs of principal MS-algebras and perfect extensions Math. Slovaca (IF 0.654) Pub Date : 2020-12-10 Abd El-Mohsen Badawy; Miroslav Haviar; Miroslav Ploščica
The notion of a congruence pair for principal MS-algebras, simpler than the one given by Beazer for K2-algebras [], is introduced. It is proved that the congruences of the principal MS-algebras L correspond to the MS-congruence pairs on simpler substructures L°° and D(L) of L that were associated to L in [].
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Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Danfeng Luo; Zhiguo Luo
In this paper, we mainly consider the existence and Hyers-Ulam stability of solutions for a class of fractional differential equations involving time-varying delays and non-instantaneous impulses. By the Krasnoselskii’s fixed point theorem, we present the new constructive existence results for the addressed equation. In addition, we deduce that the equations have Hyers-Ulam stable solutions by utilizing
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Properties and methods of estimation for a bivariate exponentiated Fréchet distribution Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Abdus Saboor; Hassan S. Bakouch; Fernando A. Moala; Sheraz Hussain
In this paper, a bivariate extension of exponentiated Fréchet distribution is introduced, namely a bivariate exponentiated Fréchet (BvEF) distribution whose marginals are univariate exponentiated Fréchet distribution. Several properties of the proposed distribution are discussed, such as the joint survival function, joint probability density function, marginal probability density function, conditional
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On the topological complexity of Grassmann manifolds Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Vimala Ramani
We prove that the topological complexity of a quaternionic flag manifold is half of its real dimension. For the real oriented Grassmann manifolds G͠n,k, 3 ≤ k ≤ [n/2], the zero-divisor cup-length of the rational cohomology of G͠n,k is computed in terms of n and k which gives a lower bound for the topological complexity of G͠n,k, TC(G͠n,k). When k = 3, it is observed in certain cases that better lower
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Unital topology on a unital l-group Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Mahmood Pourgholamhossein; Mohammad Ali Ranjbar
In this paper we investigate some fundamental properties of unital topology on a lattice ordered group with order unit. We show that some essential properties of order unit norm on a vector lattice with order unit, are valid for unital l-groups. For instance we show that for an Archimedean Riesz space G with order unit u, the unital topology and the strong link topology are the same.
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Entropy as an integral operator: Erratum and modification Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Mehdi Rahimi
In [Rahimi, M.: Entropy as an integral operator, Math. Slovaca 69(1) (2019), 139–146], we assigned an integral operator on a Hilbert space to any topological dynamical system of finite entropy and stated the entropy of the system in terms of the spectrum of the defined operator. Unfortunately, there is a mistake in the proof of the main theorem of the paper which makes the result incorrect. So, we
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Oscillation criteria for a class of nonlinear discrete fractional order equations with damping term Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 George E. Chatzarakis; George M. Selvam; Rajendran Janagaraj; George N. Miliaras
The aim in this work is to investigate oscillation criteria for a class of nonlinear discrete fractional order equations with damping term of the form
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Unbounded oscillation of fourth order functional differential equations Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Arun Kumar Tripathy; Rashmi Rekha Mohanta
In this paper, sufficient conditions for oscillation of unbounded solutions of a class of fourth order neutral delay differential equations of the form
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Differential subordinations and Pythagorean means Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Eszter Gavriş
The aim of this paper is to generalize several differential subordination results, involving arithmetic, geometric and harmonic means of the expressions p(z) and p(z)+zp′(z)p(z). Are also given certain applications of the main results.
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Integration with respect to deficient topological measures on locally compact spaces Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Svetlana V. Butler
Topological measures and deficient topological measures generalize Borel measures and correspond to certain non-linear functionals. We study integration with respect to deficient topological measures on locally compact spaces. Such an integration over sets yields a new deficient topological measure if we integrate a nonnegative continuous vanishing at infinity function; and it produces a signed deficient
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Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Hong-Hu Chu; Tie-Hong Zhao; Yu-Ming Chu
In the article, we present the best possible parameters α1, β1, α2, β2 ∈ ℝ and α3, β3 ∈ [1/2, 1] such that the double inequalities
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Quadratic refinements of Young type inequalities Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Yonghui Ren; Pengtong Li; Guoqing Hong
In this paper, we mainly give some quadratic refinements of Young type inequalities. Namely:
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Root separation for polynomials with reducible derivative Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Artūras Dubickas
Suppose f is a degree d polynomial with integer coefficients whose derivative f′ is a polynomial reducible over ℚ. We give a lower bound for the distance between two distinct roots of f in terms of d, the height H(f) of f, and the degree m of the irreducible factor of f′ with largest degree. The exponent (d + m − 1)/2 that appears as the power of H(f) is smaller than the corresponding exponent d −
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Solutions of a generalized markoff equation in fibonacci numbers Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Hayder Raheem Hashim; Szabolcs Tengely
In this paper, we find all the solutions (X, Y, Z) = (FI, FJ, FK), where FI, FJ, and FK represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation: AX2 + BY2 + CZ2 = DXYZ + 1.
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Fibonacci numbers in generalized Pell sequences Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Jhon J. Bravo; Jose L. Herrera
In this paper, by using lower bounds for linear forms in logarithms of algebraic numbers and the theory of continued fractions, we find all Fibonacci numbers that appear in generalized Pell sequences. Some interesting estimations involving generalized Pell numbers, that we believe are of independent interest, are also deduced. This paper continues a previous work that searched for Fibonacci numbers
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Quadruple construction of decomposable double MS-algebras Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Abd El-Mohsen Badawy; Salah El-Din S. Hussein; Ahmed Gaber
This paper is devoted to the study of the class of decomposable double MS-algebras. Necessary and sufficient conditions for a decomposable MS-algebra to be a decomposable double MS-algebra are deduced. We construct decomposable double MS-algebras by means of decomposable MS-quadruples and we prove that there exists a one-to-one correspondence between decomposable double MS-algebras and decomposable
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Monadic pseudo BE-algebras Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Lavinia Corina Ciungu
In this paper we define the monadic pseudo BE-algebras and investigate their properties. We prove that the existential and universal quantifiers of a monadic pseudo BE-algebra form a residuated pair. Special properties are studied for the particular case of monadic bounded commutative pseudo BE-algebras. Monadic classes of pseudo BE-algebras are investigated and it is proved that the quantifiers on
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Characterization of linear mappings on (Banach) ⋆-algebras by similar properties to derivations Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Behrooz Fadaee; Kamal Fallahi; Hoger Ghahramani
Let 𝓐 be a ⋆-algebra, δ : 𝓐 → 𝓐 be a linear map, and z ∈ 𝓐 be fixed. We consider the condition that δ satisfies xδ(y)⋆ + δ(x)y⋆ = δ(z) (x⋆δ(y) + δ(x)⋆y = δ(z)) whenever xy⋆ = z (x⋆y = z), and under several conditions on 𝓐, δ and z we characterize the structure of δ. In particular, we prove that if 𝓐 is a Banach ⋆-algebra, δ is a continuous linear map, and z is a left (right) separating point
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More on closed non-vanishing ideals in CB(X) Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Amin Khademi
Let X be a completely regular topological space. For each closed non-vanishing ideal H of CB(X), the normed algebra of all bounded continuous scalar-valued mappings on X equipped with pointwise addition and multiplication and the supremum norm, we study its spectrum, denoted by 𝔰𝔭(H). We make a correspondence between algebraic properties of H and topological properties of 𝔰𝔭(H). This continues
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𝔻-recurrent ∗-Ricci tensor on three-dimensional real hypersurfaces in nonflat complex space forms Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Yaning Wang
Kaimakamis and Panagiotidou in [Taiwanese J. Math. 18(6) (2014), 1991–1998] proposed an open question: are there real hypersurfaces in nonflat complex space forms whose ∗-Ricci tensor satisfies the condition of 𝔻-parallelism? In this short note, we present an affirmative answer and prove that a three-dimensional real hypersurface in a nonflat complex space form has 𝔻-parallel ∗-Ricci tensor if and
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Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Jamel Benameur; Lotfi Jlali
In this paper, we prove a global well-posedness of the three-dimensional incompressible Navier-Stokes equation under initial data, which belongs to the Lei-Lin-Gevrey space Za,σ−1(ℝ3) and if the norm of the initial data in the Lei-Lin space 𝓧−1 is controlled by the viscosity. Moreover, we will show that the norm of this global solution in the Lei-Lin-Gevrey space decays to zero as time approaches
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The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛* Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Shagun Banga; S. Sivaprasad Kumar
In this paper, we use the novel idea of incorporating the recently derived formula for the fourth coefficient of Carathéodory functions, in place of the routine triangle inequality to achieve the sharp bounds of the Hankel determinants H3(1) and H2(3) for the well known class 𝓢𝓛* of starlike functions associated with the right lemniscate of Bernoulli. Apart from that the sharp bound of the Zalcman
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Two semigroup rings associated to a finite set of meromorphic functions Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Mircea Cimpoeaş
We fix z0 ∈ ℂ and a field 𝔽 with ℂ ⊂ 𝔽 ⊂ 𝓜z0 := the field of germs of meromorphic functions at z0. We fix f1, …, fr ∈ 𝓜z0 and we consider the 𝔽-algebras S := 𝔽[f1, …, fr] and S¯:=F[f1±1,…,fr±1]. We present the general properties of the semigroup rings
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Analogs of Hayman’s Theorem and of logarithmic criterion for analytic vector-valued functions in the unit ball having bounded L-index in joint variables Math. Slovaca (IF 0.654) Pub Date : 2020-09-27 Vita Baksa; Andriy Bandura; Oleh Skaskiv
In this paper, we present necessary and sufficient conditions of boundedness of L-index in joint variables for vector-valued functions analytic in the unit ball B2={z∈C2:|z|=|z1|2+|z2|2<1}, where L = (l1, l2): 𝔹2 → R+2 is a positive continuous vector-valued function.
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On the bond pricing partial differential equation in a convergence model of interest rates with stochastic correlation Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Beáta Stehlíková
Convergence models of interest rates are used to model a situation, where a country is going to enter a monetary union and its short rate is affected by the short rate in the monetary union. In addition, Wiener processes which model random shocks in the behaviour of the short rates can be correlated. In this paper we consider a stochastic correlation in a selected convergence model. A stochastic correlation
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A new one-parameter discrete distribution with associated regression and integer-valued autoregressive models Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Emrah Altun
This study introduces the Poisson-Bilal distribution and its associated two models for modeling the over-dispersed count data sets. The Poisson-Bilal distribution has tractable properties and explicit forms for its statistical properties. A new over-dispersed count regression model and integer-valued autoregressive process with flexible innovation distribution are defined and studied comprehensively
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An alternative distribution to Lindley and Power Lindley distributions with characterizations, different estimation methods and data applications Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Mustafa Ç. Korkmaz; G. G. Hamedani
This paper proposes a new extended Lindley distribution, which has a more flexible density and hazard rate shapes than the Lindley and Power Lindley distributions, based on the mixture distribution structure in order to model with new distribution characteristics real data phenomena. Its some distributional properties such as the shapes, moments, quantile function, Bonferonni and Lorenz curves, mean
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Multi-opponent James functions Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Christopher N. B. Hammond; Warren P. Johnson
The James function, also known as the “log5 method”, assigns a probability to the result of a competition between two teams based on their respective winning percentages. This paper, which builds on earlier work of the authors and Steven J. Miller, explores the analogous situation where a single team or player competes simultaneously against multiple opponents.
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The Lindley negative-binomial distribution: Properties, estimation and applications to lifetime data Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Muhammad Mansoor; Muhammad Hussain Tahir; Gauss M. Cordeiro; Sajid Ali; Ayman Alzaatreh
A generalization of the Lindley distribution namely, Lindley negative-binomial distribution, is introduced. The Lindley and the exponentiated Lindley distributions are considered as sub-models of the proposed distribution. The proposed model has flexible density and hazard rate functions. The density function can be decreasing, right-skewed, left-skewed and approximately symmetric. The hazard rate
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Bn-maximal operator and Bn-singular integral operators on variable exponent Lebesgue spaces Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Ismail Ekincioglu; Vagif S. Guliyev; Esra Kaya
In this paper, we prove the boundedness of the Bn maximal operator and Bn singular integral operators associated with the Laplace-Bessel differential operator ΔBn on variable exponent Lebesgue spaces.
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Uniqueness problem of meromorphic mappings of a complete Kähler manifold into a projective space Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Ha Huong Giang
In this article, we prove a new generalization of uniqueness theorems for meromorphic mappings of a complete Kähler manifold M into ℙn(ℂ) sharing hyperplanes in general position with a general condition on the intersections of the inverse images of these hyperplanes.
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Existence of wandering and periodic domain in given angular region Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Vishnu Narayan Mishra; Garima Tomar
Dynamics of composition of entire functions is well related to it's factors, as it is known that for entire functions f and g, fog has wandering domain if and only if gof has wandering domain. However the Fatou components may have different structures and properties. In this paper we have shown the existence of domains with all possibilities of wandering and periodic in given angular region θ.
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Coefficient inequalities related with typically real functions Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Saqib Hussain; Shahid Khan; Khalida Inayat Noor; Mohsan Raza
In this paper, we are mainly interested to study the generalization of typically real functions in the unit disk. We study some coefficient inequalities concerning this class of functions. In particular, we find the Zalcman conjecture for generalized typically real functions.
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On reverse Hölder and Minkowski inequalities Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Chang-Jian Zhao; Wing Sum Cheung
In the paper, we give new improvements of the reverse Hölder and Minkowski integral inequalities. These new results in special case yield the Pólya-Szegö’s inequality and reverse Minkowski’s inequality, respectively.
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Varieties of ∗-regular rings Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Christian Herrmann
Given a subdirectly irreducible ∗-regular ring R, we show that R is a homomorphic image of a regular ∗-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R; moreover, R (with unit) is directly finite if all eRe are unit-regular. For any subdirect product of artinian ∗-regular rings we construct a unit-regular and ∗-clean extension within its variety.
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Factorization of polynomials over valued fields based on graded polynomials Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Lhoussain El Fadil
In this paper, we develop a new method based on Newton polygon and graded polynomials, similar to the known one based on Newton polygon and residual polynomials. This new method allows us the factorization of any monic polynomial in any henselian valued field. As applications, we give a new proof of Hensel’s lemma and a theorem on prime ideal factorization.
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Upper bounds of some special zeros for the Rankin-Selberg L-function Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Kajtaz H. Bllaca
In this paper, we prove some conditional results about the order of zero at central point s = 1/2 of the Rankin-Selberg L-function L(s, πf × π͠′f). Then, we give an upper bound for the height of the first zero with positive imaginary part of L(s, πf × π͠′f). We apply our results to automorphic L-functions.
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Some relative normality properties in locales Math. Slovaca (IF 0.654) Pub Date : 2020-07-24 Themba Dube; Ali Akbar Estaji; Maryam Robat Sarpoushi
We study relative normality properties in locales. We identify localic maps that preserve and ones that reflect various relative normality properties.
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Rough weighted 𝓘-limit points and weighted 𝓘-cluster points in θ-metric space Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Sanjoy Ghosal; Avishek Ghosh
In 2018, Das et al. [Characterization of rough weighted statistical statistical limit set, Math. Slovaca 68(4) (2018), 881–896] (or, Ghosal et al. [Effects on rough 𝓘-lacunary statistical convergence to induce the weighted sequence, Filomat 32(10) (2018), 3557–3568]) established the result: The diameter of rough weighted statistical limit set (or, rough weighted 𝓘-lacunary limit set) of a sequence
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Density of summable subsequences of a sequence and its applications Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Bingzhe Hou; Yue Xin; Aihua Zhang
Let x = {xn}n=1∞ be a sequence of positive numbers, and 𝓙x be the collection of all subsets A ⊆ ℕ such that ∑k∈Axk < +∞. The aim of this article is to study how large the summable subsequence could be. We define the upper density of summable subsequences of x as the supremum of the upper asymptotic densities over 𝓙x, SUD in brief, and we denote it by D*(x). Similarly, the lower density of summable
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An extension of q-starlike and q-convex error functions endowed with the trigonometric polynomials Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Şahsene Altinkaya
In this present investigation, we will concern with the family of normalized analytic error function which is defined by
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Locally defined operators in the space of Ck,ω-functions Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Małgorzata Wróbel
For a closed set A ⊂ ℝn a representation theorem for locally defined operators maping the space Ck,ω(A) consisting of all k-times continuously differentiable functions on A whose k-th derivatives have modulus of continuity ω into C0,ω(A) is presented.
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Monotone transformations on the cone of all positive semidefinite real matrices Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Iva Golubić; Janko Marovt
Let Hn+(ℝ) be the cone of all positive semidefinite (symmetric) n × n real matrices. Matrices from Hn+(ℝ) play an important role in many areas of engineering, applied mathematics, and statistics, e.g. every variance-covariance matrix is known to be positive semidefinite and every real positive semidefinite matrix is a variance-covariance matrix of some multivariate distribution. Three of the best known
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Some fixed point theorems for multi-valued mappings in graphical metric spaces Math. Slovaca (IF 0.654) Pub Date : 2020-05-23 Satish Shukla; Hans-Peter A. Künzi
In this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler’s fixed point theorem.
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