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On Hilbert's Inequality for Double Series and Its Applications
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-03-31
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function u(x) and a parameter λ.
In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality.
As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality in Hp function are given.
American Psychological Association (APA)
Yu, Zhou& Mingzhe, Gao. 2008. On Hilbert's Inequality for Double Series and Its Applications. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-987879
Modern Language Association (MLA)
Yu, Zhou& Mingzhe, Gao. On Hilbert's Inequality for Double Series and Its Applications. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-12.
https://search.emarefa.net/detail/BIM-987879
American Medical Association (AMA)
Yu, Zhou& Mingzhe, Gao. On Hilbert's Inequality for Double Series and Its Applications. International Journal of Mathematics and Mathematical Sciences. 2008. Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-987879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987879