Results 11 to 20 of about 157 (74)

Polynomial bivariate copulas of degree five: characterization and some particular inequalities

open access: yesDependence Modeling, 2021
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
doaj   +1 more source

Improved Jensen's inequality

open access: yes, 2017
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
semanticscholar   +1 more source

On a problem connected with strongly convex functions

open access: yes, 2016
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
semanticscholar   +1 more source

Nonlinear Sherman-type inequalities

open access: yesAdvances in Nonlinear Analysis, 2018
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
doaj   +1 more source

New integral inequalities involving beta function via $P$-convexity

open access: yes, 2014
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
semanticscholar   +1 more source

Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces

open access: yesJournal of Inequalities and Applications, 2013
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
semanticscholar   +1 more source

Characterization of inner product spaces and quadratic functions by some classes of functions

open access: yes, 2020
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
semanticscholar   +1 more source

A primal-dual approach of weak vector equilibrium problems

open access: yesOpen Mathematics, 2018
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
doaj   +1 more source

On Schur m-power convexity for ratios of some means

open access: yes, 2015
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
semanticscholar   +1 more source

Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions

open access: yes, 2013
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
semanticscholar   +1 more source

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