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A Convexity Concept with Respect to a Pair of Functions
Journal article   Peer reviewed

A Convexity Concept with Respect to a Pair of Functions

Bessem Samet
Numerical functional analysis and optimization, Vol.43(5), pp.522-540
23/05/2022
DOI: https://doi.org/10.1080/01630563.2022.2050753

Abstract

Convex functions Hermite-Hadamard-type inequalities Jensen-type inequalities psi function Simpson-type inequalities
In this paper, the concept of a convex function with respect to a pair of functions is introduced. Then some properties related to this notion are established. Furthermore, some fundamental inequalities from the theory of convex functions are extended to this new class of mappings.

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