J4 ›› 2012, Vol. 50 ›› Issue (02): 167-173.

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A HalfDiscrete HilbertType Inequality with the Nonmonotone Kernel

YANG Bicheng1, CHEN Qiang2   

  1. 1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;2. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China
  • Received:2011-08-29 Online:2012-03-26 Published:2012-03-21
  • Contact: YANG Bicheng E-mail:bcyang@gdei.edu.cn

Abstract:

By means of weight coefficient and the idea of introducing parameters, a halfdiscrete Hilberttype inequality with the nonmonotone kernel and a best constant factor was given and  its best extension with multiparameters and the equivalent forms was considered.

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

CLC Number: 

  • O178