On Certain Extension of Hilbert's Integral Inequality with Best Constants

• Journal title : Kyungpook mathematical journal
• Volume 48, Issue 3,  2008, pp.457-463
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2008.48.3.457
Title & Authors
On Certain Extension of Hilbert's Integral Inequality with Best Constants
Li, Yongjin; Lin, Yu; He, Bing;

Abstract
In this paper, by introducing a new function with two parameters, we give another generalizations of the Hilbert's integral inequality with a mixed kernel $\small{k(x, y) = \frac {1}{A(x+y)+B{\mid}x-y{\mid}}}$ and a best constant factors. As applications, some particular results with the best constant factors are considered.
Keywords
Hilbert's integral inequality;Weight function;
Language
English
Cited by
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