J4 ›› 2012, Vol. 50 ›› Issue (06): 1081-1085.

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A New More Accurate HalfDiscrete HilbertType Inequality

YANG Bicheng   

  1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China
  • Received:2012-04-28 Online:2012-11-26 Published:2012-11-26
  • Contact: YANG Bicheng E-mail:bcyang@gdei.edu.cn

Abstract:

With the help of the way of weight coefficient and Hadamard’s inequality, a halfdiscrete Hilberttype inequality with a best constant factor was given. We also considered its more accurate extension form with multiparameters as well as the equivalent form.

Key words: weight coefficient, parameter, Hilberttype inequality, equivalent form

CLC Number: 

  • O178