Results 11 to 20 of about 600 (94)
Regular operator mappings and multivariate geometric means [PDF]
, 2014 We introduce the notion of regular operator mappings of several variables generalising the notion of spectral function. This setting is convenient for studying maps more general than what can be obtained from the functional calculus, and it allows for ...
Hansen, Frank
core +4 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
On weighted quasi-arithmetic means which are convex
Mathematical Inequalities & Applications, 2019 We study convexity in the class of weighted quasi-arithmetic means. It turns out that their convexity depends only on the generator, neither on weights, nor on the number of variables.
J. Chudziak +3 more
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
, 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
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
doaj +1 more source
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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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
wiley +1 more source
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
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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