Lah–Ribarič type inequalities for (h, g; m)-convex functions

Recently introduced new class of (h, g; m)-convex functions unifies a certain range of convexity, thus allowing the generalizations of know results. In this paper we prove Lah–Ribarič type inequalities for (h, g; m)-convex functions from which we obtain inequalities of Hermite–Hadamard, Fejér, Giaccardi, Popoviciu and Petrović. © 2021, The Author(s) under exclusive licence to The Royal Academy of Sciences, Madrid.