Hermite–Hadamard-Type Inequalities for Generalized Preinvex Functions
Keywords:
s-type covex function,, m-exponential pre-invex function, power mean integral inequalityAbstract
In this research work, we introduce the concept of an s-type n-polynomial m-exponential preinvex function and establish several fundamental results concerning its algebraic properties. Furthermore, by employing this newly defined class of functions, we derive improved forms of the Hermite–Hadamard (H–H) inequality and obtain several refinements of H–Htype inequalities. The results established in this study provide meaningful extensions and generalizations of several existing results in the literature. As special cases, these findings are further illustrated through appropriate corollaries, which recover and extend a number of well-known inequalities.
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