J4 ›› 2012, Vol. 50 ›› Issue (06): 1081-1085.

• 数学 • 上一篇    下一篇

一个新的较精确的半离散Hilbert型不等式

 杨必成   

  1. 广东第二师范学院 数学系, 广州 510303
  • 收稿日期:2012-04-28 出版日期:2012-11-26 发布日期:2012-11-26
  • 通讯作者: 杨必成 E-mail:bcyang@gdei.edu.cn

A New More Accurate HalfDiscrete HilbertType Inequality

YANG Bicheng   

  1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China
  • Received:2012-04-28 Online:2012-11-26 Published:2012-11-26
  • Contact: YANG Bicheng E-mail:bcyang@gdei.edu.cn

摘要:

应用权系数方法及Hadamard不等式, 建立一个新的具有最佳常数因子的半离散Hilbert-型不等式, 它联系着一个含对数的核, 并考虑了其较精确的多参数推广形式及其等价式.

关键词: 权系数, 参数, Hilbert型不等式, 等价式

Abstract:

With the help of the way of weight coefficient and Hadamard’s inequality, a halfdiscrete Hilberttype inequality with a best constant factor was given. We also considered its more accurate extension form with multiparameters as well as the equivalent form.

Key words: weight coefficient, parameter, Hilberttype inequality, equivalent form

中图分类号: 

  • O178