Jensen, Hermite–Hadamard, and Fejér-Type Inequalities for Reciprocally Strongly (h, s)-Convex Functions

Yujun Wang, Muhammad Shoaib Saleem, Zahida Perveen, Muhammad Imran and Firdous A. Shah

Journal of Mathematics, 2023, vol. 2023, 1-9

Abstract: This paper aims to present a generalized and extended notation of convexity by unifying reciprocally strong convexity with h,s−convexity. We introduce the concept of reciprocally strongly h,s−convex functions and establish some of their fundamental properties. In addition, we establish various inequalities, including Jensen, Hermite–Hadamard, and Fejér-type inequalities, for this generalized framework. Our findings are an extension of numerous existing results and provide a basis for developing novel methods for generalization in convexity.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5178551

DOI: 10.1155/2023/5178551

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