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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): 371-378

Published online September 23, 2010

Copyright © Kyungpook Mathematical Journal.

Ostrowski's Type Inequalities for $%
left( alpha ,might) -$Convex Functions

Muhamet Emin Ozdemir, Havva Kavurmac, Erhan Set

Atat?urk University, K. K. Education Faculty, Department of Mathematics, 25240, Campus, Erzurum, Turkey

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

Abstract

In this paper, we establish new inequalities of Ostrowski's type for
functions whose derivatives in absolute value are $left( alpha ,might) -$%
convex.

Keywords: $left( alpha ,might)$-Convex Function, $m$-Convex Function,
Convex Function, Ostrowski's Inequality, H"{o}lder's Inequality, Power Mean
Inequality