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• 数学 •    下一篇

一个反向的Hardy-Hilbert积分不等式

杨必成   

  1. 广东教育学院数学系, 广州 510303
  • 收稿日期:2004-02-09 修回日期:1900-01-01 出版日期:2004-10-26 发布日期:2004-10-26
  • 通讯作者: 杨必成

A reverse Hardy-Hilbert's integral inequality

YANG Bi-cheng   

  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou 510303, China
  • Received:2004-02-09 Revised:1900-01-01 Online:2004-10-26 Published:2004-10-26
  • Contact: YANG Bi-cheng

摘要: 通过引入单参数λ, β函数及改进权函数的方法, 建立一个反向的Hardy-Hilbert积分不等式, 并证明其常数因子为最佳值. 作为应用, 建立 了若干等价形式及一些特殊结果.

关键词: Hardy-Hilbert积分不等式, 权函数, β函数

Abstract: By means of introducing a parameter λ and the β function, and improv ing weight function, a reverse Hardy-Hilbert's inequality with a best constant factor is obtained. As applications, some equivalent forms and some particular results have been established.

Key words: Hardy-Hilbert's inequality, weight function, β function

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  • O178