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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2010; 50(3): 399-410

Published online September 23, 2010

Copyright © Kyungpook Mathematical Journal.

Some New Inequalities of Hermite-Hadamard's Type

Aziz Saglam, Huseyin Yildirim, Mehmet Zeki Sarikaya

Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, Turkey,
Department of Mathematics, Faculty of Science and Arts, D?uzce University, D?uzce, Turkey

Received: September 23, 2010; Revised: September 23, 2010; Accepted: September 23, 2010

Abstract

In this paper, we establish several new inequalities for some differantiable
mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Some applications for special means of real numbers are also provided.

Keywords: Convex function, Hermite-Hadamard inequality