X-Convexity and Quasi-X-Convex Functions with Applications

Musavvir Ali and Ehtesham Akhter ()
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Musavvir Ali: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Ehtesham Akhter: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Asia-Pacific Journal of Operational Research (APJOR), 2025, vol. 42, issue 03, 1-18

Abstract: In this paper, we define X-convex and quasi-X-convex functions. This class of real functions is the generalization of a family of convex functions. Additionally, we provide a thorough analysis of the core characteristics of these functions in this paper, along with numerous examples that help to illustrate the ideas. Furthermore, quasi-X-convex, semistrictly quasi-X-convex, and strictly quasi-X-convex functions are used to study and show its applications on optimization problems.

Keywords: Convexity; inequality; X-convex function; quasi-X-convex function; monotonicity; optimization (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0217595924500222

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