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

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AbstractIn this paper, we introduce a new class of convex functions, so-calledn-polynomialp-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.
Title: On n-polynomial p-convex functions and some related inequalities
Description:
AbstractIn this paper, we introduce a new class of convex functions, so-calledn-polynomialp-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.

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