Open AccessA New Hilbert-type integral inequality with a non-homogeneous kernel and its extension
Author(s) -
Wei Wu
Publication year - 2016
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v4i3.5608
Subject(s) - mathematics , extension (predicate logic) , kernel (algebra) , homogeneous , real analysis , weight function , constant (computer programming) , inequality , type (biology) , pure mathematics , mathematical analysis , combinatorics , computer science , ecology , biology , programming language
By introducing some parameters , using the weight function and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel as \(\frac{1}{|1-axy|^{\lambda_2}}(a\geq1)\) and its equivalent form are established. As application, the constant factor on the plane is the best value and its extension form with some parameters is also considered.