Some Generalized Inequalities via (s, m) -Convexity and their Applications

Abstract

The main objective of this study is to formulate novel inequalities of the trapezoidal, mid-point, and Simpson types in connection with  an  extension of the Bullen-type inequality using the concept of (s,m)-convexity. Additionally, the investigation includes the exploration of particular cases and the application of these derived inequalities to some special means.