J4 ›› 2010, Vol. 48 ›› Issue (06): 941-945.

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A New HilbertType Integral Inequality withHomogeneous Kernel of Real NumberDegree

XIE Zitian1, YANG Bicheng2, ZENG Zheng3   

  1. 1. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, Guangdong Province, China;2. Department of Mathematics, Guangdong Education Institute, Guangzhou 510103, China;3. Department of Mathematics, Shaoguan University, Shaoguan 512005, Guangdong Province, China
  • Received:2009-12-23 Online:2010-11-26 Published:2010-11-26
  • Contact: XIE Zitian E-mail:gdzqxzt@163.com

Abstract:

Estimating the weight function, we gave a new Hilberttype integral inequality with homogeneous kernel real number
degree and a best constant factor. The equivalent inequality and the reverse forms were considered.

Key words: Hilberttype integral inequality, weight function, Hlder’s inequality

CLC Number: 

  • O178