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On new generalizations of the Hilbert integral inequality |
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| Authors: | Zhongxue Lü |
| Institution: | a Department of Basic Science of Technology College, Xuzhou Normal University, Jiangsu 221011, China b Department of Mathematics, Normal College, Jishou University, Hunan Jishou 416000, China c Department of Mathematics, University of Texas - Pan American, 1201 W. University Drive, Edinburg, TX 78539, USA |
| Abstract: | Some new generalizations of the Hilbert integral inequality by introducing real functions ?(x) and ψ(x). The results of this paper reduce to those of the corresponding inequalities proved by Gao Mingzhe Gao, On Hilbert's integral inequality, Math. Appl. 11 (3) (1998) 32-35]. Some applications are considered. |
| Keywords: | Inner product Hilbert integral inequality Hardy-Littlewood integral inequality |
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