Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions

Kerim Bekar^1,

¹Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Türkiye

Cite this paper:
Kerim Bekar. Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions. Turkish Journal of Analysis and Number Theory. 2019; 7(3):85-90. doi: 10.12691/tjant-7-3-5

Abstract

In this work, by using an integral identity together with both the Hölder integral inequality and the power-mean integral inequality we establish several new inequalities for three-times differentiable arithmetic-harmonically-convex function. Then, using this inequalities, we obtain some new inequalities connected with means.

Keywords:
convex function arithmetic-harmonically-convex function Hermite-Hadamard’s inequality

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