Some new integral inequalities for \(n\)-times differentiable convex and concave functions

Volume 10, Issue 12, pp 6141--6148 http://dx.doi.org/10.22436/jnsa.010.12.01

Publication Date: December 02, 2017 Submission Date: January 13, 2017

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Authors

Selahattin Maden - Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey. Huriye Kadakal - Institute of Science, Ordu University, Ordu, Turkey. Mahir Kadakal - Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Turkey. İmdat İscan - Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Turkey.

Abstract

In this work, by using an integral identity together with both the Holder and the Power-mean integral inequalities we establish several new inequalities for \(n\)-times differentiable convex and concave mappings.

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Keywords

• Convex function
• concave function
• Holder integral inequality
• power-mean integral inequality

MSC

•  26A51
•  26D10
•  26D15

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