Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (5): 484-488.doi: 10.3969/j.issn.1007-2861.2012.05.009

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Half-Discrete Hilbert Inequality with a Single Parameter

YANG Bi-cheng   

  1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China
  • Received:2011-09-14 Online:2012-10-30 Published:2012-10-30

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

CLC Number: