Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions

Abstract In this paper, we use ( m +4)-convex functions to derive an estimate for Jensen’s inequality in the context of divided differences. In addition, we extend these results for ( h, g ; α − n )-convex functions. Finally, we present some results for g -convex functions, ( h, g )-convex functions and provide a discussion and examples concerning h -convex functions.