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On n-polynomial p-convex functions and some related inequalities

On n-polynomial p-convex functions and some related inequalities

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 Hermiteā€“Hadamard type inequalities for this generalization. Moreover, we establish some refinements of Hermiteā€“Hadamard type inequalities for this new class.