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


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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ISRP Style

Selahattin Maden, Huriye Kadakal, Mahir Kadakal, İmdat İscan, Some new integral inequalities for \(n\)-times differentiable convex and concave functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 12, 6141--6148

AMA Style

Maden Selahattin, Kadakal Huriye, Kadakal Mahir, İscan İmdat, Some new integral inequalities for \(n\)-times differentiable convex and concave functions. J. Nonlinear Sci. Appl. (2017); 10(12):6141--6148

Chicago/Turabian Style

Maden, Selahattin, Kadakal, Huriye, Kadakal, Mahir, İscan, İmdat. "Some new integral inequalities for \(n\)-times differentiable convex and concave functions." Journal of Nonlinear Sciences and Applications, 10, no. 12 (2017): 6141--6148


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