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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 2009; 49(4): 623-630

Published online December 23, 2009

Copyright © Kyungpook Mathematical Journal.

On the Hilbert Type Integral Inequalities with some parameters and Its Reverse

H"{u}seyin Yildirim$^{ast}$, Umut Mutlu "{O}zkan, Mehmet Zeki Sarikaya

Department of Mathematics, Faculty of Science and Arts, Kocatepe University, Afyon-Turkey

Abstract

This paper deals with some new generalizations of the Hardy-Hilbert type integral inequalities with some parameters. We also consider the equivalent inequalities and the reverse forms.

Keywords: Hardy-Hilbert type integral inequalities, weighted function, H"{o}%lder inequality