A Convexity Concept with Respect to a Pair of Functions. (23rd May 2022)

• Record Type: Journal Article
• Authors: Samet, Bessem
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 5(2022)
• Page Start: 522
• Page End: 540
• Publication Date: 2022-05-23
• Subjects: Convex functions -- (v, w)− convex functions -- Hermite-Hadamard-type inequalities -- Jensen-type inequalities -- psi function -- Simpson-type inequalities; 26A51 -- 26B25 -- 26D10 -- 26D15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2050753
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: 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.