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Journal of Shanghai University >

2012 , Vol. 18 >Issue 5: 484 - 488

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.05.009

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Half-Discrete Hilbert Inequality with a Single Parameter

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

Received date: 2011-09-14

  Online published: 2012-10-30

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Abstract

Using the weight coefficient method and parameterization, a half-discrete Hilbert inequality with a best constant factor and a parameter λ∈(0,4］ is given. Its best extension with multi-parameters and equivalent forms are also considered.

Key words： equivalent form; Hilbert inequality; parameter; weight coefficient

Cite this article

YANG Bi-cheng . Half-Discrete Hilbert Inequality with a Single Parameter[J]. Journal of Shanghai University, 2012 , 18(5) : 484 -488 . DOI: 10.3969/j.issn.1007-2861.2012.05.009

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