Communications in Mathematical Analysis

On a Hilbert-Type Inequality with a Hypergeometric Function

Bing He and Bicheng Yang

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Abstract

By applying the method of weight function and techniques from Real Analysis, a Hilbert-type inequality depending upon a multi-parameter with a best constant factor is studied. The best constant is formulated in terms of a hypergeometric function. Furthermore, the inverse inequality is studied.

Article information

Source
Commun. Math. Anal., Volume 9, Number 1 (2010), 84-92.

Dates
First available in Project Euclid: 21 April 2010

Permanent link to this document
https://projecteuclid.org/euclid.cma/1271890720

Mathematical Reviews number (MathSciNet)
MR2594685

Zentralblatt MATH identifier
1189.26045

Subjects
Primary: 26D15

Keywords
Hilbert's inequality Weight coefficient Hölder's inequality

Citation

He , Bing; Yang , Bicheng. On a Hilbert-Type Inequality with a Hypergeometric Function. Commun. Math. Anal. 9 (2010), no. 1, 84--92. https://projecteuclid.org/euclid.cma/1271890720


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