Strongly $(\eta ,\omega )$-convex functions with nonnegative modulus

Abstract

We introduce a new class of functions called strongly (η, ω)-convex functions. This class of functions generalizes some recently introduced notions of convexity, namely, the η-convex functions and strongly η-convex functions. We also establish inequalities of the Hermite-Hadamard-Fejér's type, which generalize results of