Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (10): 1297-1304.doi: https://doi.org/10.1007/s10483-013-1746-x

• 论文 • 上一篇    

On Hardy-type integral inequalities

冷拓 冯勇   

  1. Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610042, P. R. China
  • 收稿日期:2013-03-08 修回日期:2013-03-27 出版日期:2013-09-29 发布日期:2013-09-29

On Hardy-type integral inequalities

 LENG Tuo, FENG Yong   

  1. Chengdu Institute of Computer Applications, Chinese Academy of Sciences, Chengdu 610042, P. R. China
  • Received:2013-03-08 Revised:2013-03-27 Online:2013-09-29 Published:2013-09-29

摘要: The Hardy integral inequality is one of the most important inequalities in analysis. The present paper establishes some new Copson-Pachpatte (C-P) type inequalities, which are the generalizations of the Hardy integral inequalities on binary functions.

关键词: Hardy inequality, Hölder inequality, Copson inequality, Izumi inequality, Pachpatte inequality

Abstract: The Hardy integral inequality is one of the most important inequalities in analysis. The present paper establishes some new Copson-Pachpatte (C-P) type inequalities, which are the generalizations of the Hardy integral inequalities on binary functions.

Key words: nanoparticles, coagulation, planar jet, moment method, large eddy simulation, Hardy inequality, Hölder inequality, Copson inequality, Izumi inequality, Pachpatte inequality

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