ADVANCES IN DIFFERENCE EQUATIONS, v. 2020, no. 1, article no. 666, page. 1-12
Abstract
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite-Hadamard type inequalities for this generalization. Moreover, we establish some refinements of Hermite-Hadamard type inequalities for this new class.