ON THE EXTENDED HILBERTS INEQUALITY

Authors
GAO MZ YANG BC
Citation
Mz. Gao et Bc. Yang, ON THE EXTENDED HILBERTS INEQUALITY, Proceedings of the American Mathematical Society, 126(3), 1998, pp. 751-759
Citations number
4
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
126
Issue
3
Year of publication
1998
Pages
751 - 759
Database
ISI
SICI code
0002-9939(1998)126:3<751:OTEHI>2.0.ZU;2-X
Abstract
In this paper, it is shown that the extended Hilbert's inequality for double series can be refined by the aid of the Euler-Maclaurin summati on formula. The extreme cases p --> 1(+) and q --> +infinity are discu ssed.