Original Article
Kyungpook Mathematical Journal 2010; 50(1): 131-152
Published online March 23, 2010
Copyright © Kyungpook Mathematical Journal.
Generalization of Hardy-Hilbert’s Inequality and Applications
Aziz Saglam1, Hüseyin Yildirim2, Mehmet Zeki Sarikaya3
1Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, Turkey
2Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, Turkey
3Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, Turkey
Received: March 23, 2010; Revised: March 23, 2010; Accepted: March 23, 2010
In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert’s integral inequality and the corresponding inequality for series. As an application, the reverses, some particular results and their equivalent forms are considered.
Keywords: Hardy-Hilbert-type integral inequality, Hö,lder&rsquo,s inequality