A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
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DownloadLeping, He, Dragomir, Sever S and Qiaoshun, Yang (2004) A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications. Research report collection, 7 (2).
Abstract
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established. At the same time, an extension of Widder’s theorem is given.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17159 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Hardy-Hilbert's integral inequality, Hölder's inequality, weight coefficient, beta function, Widder's theorem |
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