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

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.