IJPAM: Volume 11, No. 1 (2004)
SOME NEW IMPROVEMENT OF THE
HARDY-HILBERT INEQUALITY WITH APPLICATIONS
HARDY-HILBERT INEQUALITY WITH APPLICATIONS
Jia Weijian
, Gao Mingzhe
, Lokenath Debnath
Department of Mathematics
Normal College
Jishou University
Jishou Hunan 416000, P.R. CHINA
e-mail: mingzhegao@163. com
Department of Mathematics
University of Texas - Pan American
1201 W. University Drive, Edinburg, Texas 78539, USA
e-mail: debnathl@panam. edu
, Gao Mingzhe, Lokenath Debnath
Department of Mathematics
Normal College
Jishou University
Jishou Hunan 416000, P.R. CHINA
e-mail: mingzhegao@163. com
Department of Mathematics
University of Texas - Pan American
1201 W. University Drive, Edinburg, Texas 78539, USA
e-mail: debnathl@panam. edu
Abstract.This paper deals with some new improvement of the Hardy-Hilbert integral inequality. As an application, an extension and a refinement of Widder Theorem are presented.
Received: May 22, 2003
AMS Subject Classification: 26D15
Key Words and Phrases: Hardy-Hilbert inequality, Hilbert integral inequality, Widder Theorem, variable unit vector
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 11
Issue: 1
