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Kadakal M., İşcan, İ., Kadakal H. and Bekar K., On improvements of some integral inequalities, Researchgate, Preprint, 2019.

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Article

Inequalities for Three-times Differentiable Arithmetic-Harmonically Functions

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


Turkish Journal of Analysis and Number Theory. 2019, Vol. 7 No. 3, 85-90
DOI: 10.12691/tjant-7-3-5
Copyright © 2019 Science and Education Publishing

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.

Correspondence to: Kerim  Bekar, Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Türkiye. Email: kebekar@gmail.com

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.

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