Results 11 to 20 of about 585 (94)
On some inequality of Hermite-Hadamard type [PDF]
, 2011 It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true.
Wasowicz, Szymon, Witkowski, Alfred
core +2 more sources
A theorem of the alternative and a two‐function minimax theorem
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 169-177, 2004., 2004 The two main results of the paper are a theorem of the alternative of Gordan type and a two‐function minimax theorem. Both are based on some weakened convexlike properties, without any vector space structure.
Anton Stefanescu
wiley +1 more source
, 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
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 525-534, 1999., 1999 In this paper, we give two weak conditions for a lower semi‐continuous function on the n‐dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi‐convex functions.
Yu-Ru Syau
wiley +1 more source
A primal-dual approach of weak vector equilibrium problems
Open 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
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Polynomial bivariate copulas of degree five: characterization and some particular inequalities
Dependence 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
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On a problem connected with strongly convex functions
, 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
Transformations which preserve convexity
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 49-55, 1985., 1985 Let C be the class of convex nondecreasing functions f : [0, ∞) → [0, ∞) which satisfy f(0) = 0. Marshall and Proschan [1] determine the one‐to‐one and onto functions ψ : [0, ∞) → [0, ∞) such that g = ψ∘f∘ψ−1 belongs to C whenever f belongs to C. We study several natural models for multivariate extension of the Marshall‐Proschan result.
Robert A. Fontenot, Frank Proschan
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New integral inequalities involving beta function via $P$-convexity
, 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
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Journal 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
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