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 | Historical > FOR Classification > 0102 Applied Mathematics Historical > 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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