Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 171-185.

• Articles • Previous Articles     Next Articles

Some Extensions on Hardy-Littlewood Inequality and its Applications

LIU Jian-Zhong   

  1. School of Mathematics and Physics, Jiangsu Teachers University of Technology, Jiangsu Changzhou 213001)
  • Received:2011-01-13 Revised:2011-12-27 Online:2012-02-25 Published:2012-02-25
  • Supported by:

    江苏省高校自然科学研究指导性计划项目(kyz07014)资助

Abstract:

By using the H\"{o}lder inequality and  β-function, some extensions and improvements on Hardy-Littlewood inequality are given. As applications, some generalzations and refinements of Hilbert  inequality are established by above results and matrix method.

Key words: β-function, H\"{o}lder inequality, Hardy-Littlewood inequality, Hilbert inequality

CLC Number: 

  • 26D15
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