摘要：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.
关键词：Convex function ; p -convex function ; n -polynomial convexity ; n -polynomial p -convex functions ; Hermite–Hadamard type inequality
