On an extension of the Hilbert integral inequality

Authors

  • M. Bencze
  • G. Mingzhe Normal College of Jishou University, People’s Republic China
  • C. Xiaoyu Normal College of Jishou University, People’s Republic China

Keywords:

Hilbert integral inequality, Γ-function, Euler number, Catalan constant

Abstract

In this paper it is shown that an extension of the Hilbert integral inequality can be built by introducing a parameter λ(λ >−1). Constant factor expressed by Γ-function is proved to be the best possible. As applications, some equivalent forms are given.

Author Biographies

M. Bencze

Str. Harmanului 6, 505600 Sacele-Negyfalu, Jud. Brasov

G. Mingzhe, Normal College of Jishou University, People’s Republic China

Department of Mathematics and Computer Science, Hunan Jishou, 416000

C. Xiaoyu, Normal College of Jishou University, People’s Republic China

Department of Mathematics and Computer Science, Hunan Jishou, 416000 

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Published

2013-02-01

Issue

Vol. 5(54) Special Issue (2012)

Section

MATHEMATICS