On new extensions of Hilbert's inequality

Bicheng Yang

doi:10.1023/b:amhu.0000036288.28531.a3

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Acta Mathematica Hungarica

Volume/Issue:: Volume 104: Issue 4

On new extensions of Hilbert's inequality

Author:

Bicheng Yang

Bicheng Yang Guangdong Education College Guangzhou Department of Mathematics Guangdong 510303 P. R. China Guangdong 510303 P. R. China

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Pages:: 291–299

Online Publication Date:: 29 Nov 2004

Publication Date:: 01 Sep 2004

Article Category:: Research Article

DOI:: https://doi.org/10.1023/b:amhu.0000036288.28531.a3

Keywords:: Hardy-Hilbert's inequality; weight coefficient; Hölder's inequality

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Abstract

By introducing three parameters A, B and α, and estimating the weight coefficient, we give a new extension of Hilbert's inequality with a best constant factor involving the β function. As applications, we consider the equivalent form and some particular results.

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Acta Mathematica Hungarica

Print ISSN:: 0236-5294

Online ISSN:: 1588-2632

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Acta Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1950
Volumes per Year	3
Issues per Year	6
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0236-5294 (Print)
ISSN	1588-2632 (Online)