Results 11 to 20 of about 83 (80)

Delta-Convexity With Given Weights

open access: yesAnnales Mathematicae Silesianae, 2020
Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space.
Ger Roman
doaj   +1 more source

Schur-power convexity of integral mean for convex functions on the coordinates

open access: yesOpen Mathematics, 2023
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj   +1 more source

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

open access: yesOpen Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira   +3 more
doaj   +1 more source

On a Separation Theorem for Delta-Convex Functions

open access: yesAnnales Mathematicae Silesianae, 2020
In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
doaj   +1 more source

A theorem of the alternative and a two‐function minimax theorem

open access: yesJournal 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

Coincidence theorems and minimax inequalities in abstract convex spaces [PDF]

open access: yes, 2011
In this paper, we deal with the notion of abstract convex spaces via minimal spaces as an extended version of other forms of convexity and establish some well-known results such as coincidence theorems for the classes m-KKM and ms-KKM of multimaps and Ky
Mohsen Rostamian Delavar   +5 more
core   +1 more source

A note on convex functions

open access: yesInternational 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 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

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

Transformations which preserve convexity

open access: yesInternational 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

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