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Journal of Shanghai University >

2011 , Vol. 17 >Issue 5: 603 - 605

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.05.006

Mathematics.Physics and Chemistry

Hilbert-Type Integral Inequality with Non-homogeneous Kernel

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  • Department of Mathematics, Guangdong Education Institute, Guangzhou 510303, China

Received date: 2010-07-09

  Online published: 2011-10-26

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Abstract

Using the method of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel exp (-βxy), β>0, and a best constant factor is given. The equivalent form and the reverses are considered.

Key words： equivalent form; Hilbert-type integral inequality; reverse; weight function

Cite this article

YANG Bi-cheng . Hilbert-Type Integral Inequality with Non-homogeneous Kernel[J]. Journal of Shanghai University, 2011 , 17(5) : 603 -605 . DOI: 10.3969/j.issn.1007-2861.2011.05.006

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