Open AccessOn Certain Extension of Hilbert's Integral Inequality with Best Constants
Author(s) -
Yongjin Li,
Yu Lin,
Bing He
Publication year - 2008
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2008.48.3.457
Subject(s) - mathematics , extension (predicate logic) , inequality , pure mathematics , mathematical analysis , algebra over a field , calculus (dental) , computer science , programming language , medicine , dentistry
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 k(x,y) = 1 A(x+y)+B|x y| and a best constant factors. As applications, some particular results with the best constant factors are considered.
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