On a new generalization of Hardy-Hilbert's inequality and its applications

Authors
Yang, BC Debnath, L
Citation
Bc. Yang et L. Debnath, On a new generalization of Hardy-Hilbert's inequality and its applications, J MATH ANAL, 233(2), 1999, pp. 484-497
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
233
Issue
2
Year of publication
1999
Pages
484 - 497
Database
ISI
SICI code
0022-247X(19990515)233:2<484:OANGOH>2.0.ZU;2-0
Abstract
This paper deals with a generalization of the Hardy-Hilbert inequality with best constant factor which involves the beta function. As an application, we obtain a new equivalent form of the Hardy-Hilbert inequality.