Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via h−convexity

Çakmak, Musa; Tunç, Mevlüt

doi:10.2478/gm-2022-0006

Abstract

In this paper, the authors established a new identity for differentiable functions, afterward, they obtained some new general inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. On the other hand, a general inequality is studied, which gives Hermite-Hadamard, Bullen and Simpson inequalities. Also, they gave some applications for special means for arbitrary positive numbers.

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Generalizations of Hermite-Hadamard, Bullen and Simpson inequalities via h−convexity

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