Open AccessA Hilbert-type integral inequality with its best extension
Author(s) -
Wei Wu,
Lian Donglan
Publication year - 2015
Publication title -
global journal of mathematical analysis
Language(s) - English
Resource type - Journals
ISSN - 2307-9002
DOI - 10.14419/gjma.v3i3.4885
Subject(s) - mathematics , extension (predicate logic) , lambda , constant (computer programming) , kernel (algebra) , weight function , type (biology) , pure mathematics , inequality , mathematical analysis , computer science , physics , ecology , optics , biology , programming language
By using the way of weight function and the technique of real analysis, a new Hilbert-type integral inequality with a kernel as \(min\{x^{\lambda_1},y^{\lambda_2}\}\) and its equivalent form are established. As application, the constant factor on the plane are the best value and its best extension form with some parameters and the reverse forms are also considered.