Results 11 to 20 of about 157 (74)
Polynomial bivariate copulas of degree five: characterization and some particular inequalities
Bivariate polynomial copulas of degree 5 (containing the family of Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets (a, b, c), i.e., to some set of polynomials in two variables of degree 1: p(
Šeliga Adam+5 more
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In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
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On a problem connected with strongly convex functions
In this paper we show that the result obtained by Nikodem and Páles in [3] can by extended to a more general case. In particular, for a non-negative function F defined on a real vector space we define F -strongly convex functions and show that such ...
Mirosław Adamek
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Nonlinear Sherman-type inequalities
An important class of Schur-convex functions is generated by convex functions via the well-known Hardy–Littlewood–Pólya–Karamata inequality. Sherman’s inequality is a natural generalization of the HLPK inequality.
Niezgoda Marek
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New integral inequalities involving beta function via $P$-convexity
In this note we establish some estimates, involving the Euler Beta function, of the integral R b a .x a/ p.b x/qf .x/dx for functions when a power of the absolute value isP convex. An extension to functions of several variables is also obtained.
Wenjun Liu
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In this paper, a shrinking projection algorithm based on the prediction correction method for equilibrium problems and weak Bregman relatively nonexpansive mappings is introduced and investigated in Banach spaces, and then the strong convergence of the ...
R. Agarwal, Jiawei Chen, Y. Cho
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Characterization of inner product spaces and quadratic functions by some classes of functions
We define and discuss the c -quadratic-midaffine and F -midaffine functions. Using these functions we characterize inner product spaces and quadratic functions, respectively. Mathematics subject classification (2010): 46C15, 26B25, 39B62.
Mirosław Adamek
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A primal-dual approach of weak vector equilibrium problems
In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
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On Schur m-power convexity for ratios of some means
In the paper, the authors discuss the Schur m -power convexity on (0,∞)× (0,∞) for ratios of some famous means, such as the arithmetic, geometric, harmonic, root-square means, and the like, and obtain some inequalities related to ratios of means ...
Hong-Ping Yin+2 more
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The judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions are given. As their application, some analytic inequalities are established.MSC:26D15, 05E05, 26B25.
Huan-Nan Shi, Jing Zhang
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