J4

• 数学 • 上一篇    下一篇

一个Hilbert类不等式的最佳推广

杨 必 成   

  1. 广东教育学院数学系, 广州 510103
  • 收稿日期:2003-05-20 修回日期:1900-01-01 出版日期:2004-01-26 发布日期:2004-01-26
  • 通讯作者: 杨必成

Best generalization of Hilbert's type of inequality

YANG Bi-cheng   

  1. Department of Mathmatics, Guangdong Education College, Guangzhou 510303, China
  • Received:2003-05-20 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
  • Contact: YANG Bi-cheng

摘要: 通过引入单参数λ, 给一个积分型Hilbert类不等 式以具有最佳常数因子的推广. 作为应用, 建立它的等价形式及对应二重级数的推广式.

关键词: Hilbert类不等式, 权函数, Hlder不等式

Abstract: By introducing a parameter λ, we have given a gene ralization of Hilbert's type of integral inequality with a best constant factor . As its application, we have built its equivalent form and the generalized form ula corresponding to the double series inequalities.

Key words: Hilbert's type inequality, weight function, Holder's inequality

中图分类号: 

  • O178