Some integral inequalities for convex functions

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Published: Sep 29, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1016
Keywords:
Convex function Hermite-Hadamard inequality Power Mean inequality

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M. Emin Ozdemir
Ataturk University
Havva Kavurmaci
Ataturk University
Merve Avci
Ataturk University

Abstract

In this paper, by using some classical inequalities from the Theory of Inequality and integral identity, we establish two new general inequalities. Our results have some relationships with certain integral inequalities obtained by Sarikaya and Aktan.

Article Details

How to Cite
Ozdemir, M. E., Kavurmaci, H., & Avci, M. (2013). Some integral inequalities for convex functions. Tamkang Journal of Mathematics, 44(3), 253–259. https://doi.org/10.5556/j.tkjm.44.2013.1016
Issue
Vol. 44 No. 3 (2013)
Section
Papers
Author Biographies

M. Emin Ozdemir, Ataturk University

AtaturkUniversity, K.K. Education Faculty, Department OfMathematics, 25240, Campus, Erzurum, Turkey.

Havva Kavurmaci, Ataturk University

AtaturkUniversity, K.K. Education Faculty, Department OfMathematics, 25240, Campus, Erzurum, Turkey.

Merve Avci, Ataturk University

Adiyaman University, Faculty Of Science and Arts, Department ofMathematics, 02040, Adiyaman, Turkey.

References

M. Zeki Sari kaya, N. Aktan, On the generalization some integral inequalities and their applications, Mathematical and Computer Modelling, 54 (2011), 2175--2182.

A. Sav glam, M. Zeki Sari kaya and H. Yi dirim, Somenew inequalities of Hermite-Hadamard.s type, Kyungpook Mathematical Journal, 50(2010), 399--410.

M. Zeki Sari kaya, A. Sav glam and H. Yidirim, Some new integral inequalities for twice differentiable convex mappings, arXiv:1005.0453v1 [math. CA]