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Integral Transforms and Special Functions Volume 17, 2006 - Issue 5
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Original Articles

A Hardy–Hilbert's type inequality with gamma function and its applications

Leping He College of Mathematics and Computer Science, Normal College, Jishou University, Jishou, Hunan, 416000, People's Republic of China
,
Weijian Jia Department of Mathematics and Computer Science, Normal College, Jishou University, Jishou, Hunan, 416000, People's Republic of China
&
Mingzhe Gao Department of Mathematics and Computer Science, Normal College, Jishou University, Jishou, Hunan, 416000, People's Republic of ChinaCorrespondence[email protected]
Pages 355-363 | Received 21 Apr 2004, Published online: 26 Jan 2007

References

  • Hardy , G. H. , Littlewood , J. E. and Polya , G. 1952 . Inequalities , Cambridge, , UK : Cambridge Univversity Press .
  • Mitrinovic , D. S. , Pecaric , J. E. and Fink , A. M. 1991 . Inequalities Involving Functions and Their Integral and Derivatives , Boston : Kluwer Academic .
  • Yang , Bicheng and Debnath , L. 2002 . On the extended Hardy–Hilbert's inequality . Journal of Mathematical Analysis and Applications , 272 ( 1 ) : 187 – 199 .
  • Yang , Bicheng . 1998 . A note on Hilbert's integral inequality . Chinese Quarterly Journal of Mathematics , 13 ( 4 ) : 83 – 86 .
  • Yang , Bicheng . 1998 . On Hilbert's integral inequality . Journal of Mathematical Analysis and Applications , 220 ( 2 ) : 778 – 785 .
  • Kuang , Jichang . 1999 . On new extensions of Hilbert's integral inequality . Journal of Mathematical Analysis and Applications , 235 ( 2 ) : 608 – 614 .
  • Yang , Bicheng . 2000 . On a general Hardy–Hilbert's inequality with a best value . Chinese Annals of Mathematics (Series A) , 21 ( 4 ) : 401 – 408 .
  • Wang , Zhuqi and Guo , Dongren . 1979 . An Introduction to Special Functions , Beijing : Science Press .

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