Hermite-Hadamard and Simpson-like type inequalities for differentiable harmonically convex functions

Abstract

In this paper, a new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions whose derivatives in absolute value at certain power are harmonically convex. Some applications to special means of real numbers are also given.

15 pages

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• Hermite-Hadamard type inequalities for harmonically convex functions on the co-ordinates