On a New Generalization of Hilbert's Integral Inequality and its Applications

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Yang, B and Debnath, L (1999) On a New Generalization of Hilbert's Integral Inequality and its Applications. RGMIA research report collection, 2 (5).

Abstract

This paper deals with a new generalization of Hilbert's integral inequality with a best possible constant factor involving the β function. As applications, general inequalities equivalent to Hilbert's type inequality and Hardy-Littlewood's integral inequality are proved.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17245
Subjects Current > FOR Classification > 0102 Applied Mathematics
Current > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Hilbert's integral inequality, weight function and β function
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