J4 ›› 2012, Vol. 50 ›› Issue (06): 1123-1128.

• 数学 • 上一篇    下一篇

具有准齐次核的Hardy-Hilbert型积分不等式

洪勇   

  1. 广东商学院 数学与计算科学学院, 广州 510320
  • 收稿日期:2012-04-06 出版日期:2012-11-26 发布日期:2012-11-26
  • 通讯作者: 洪勇 E-mail:hongyonggdcc@yeah.net

On HardyHilbert Type Integral Inequality witha Quasihomogeneous Kernel

HONG Yong   

  1. Department of Mathematics and Computer Science, Guangdong University of Business Studies, Guangzhou 5
    10320, China
  • Received:2012-04-06 Online:2012-11-26 Published:2012-11-26
  • Contact: HONG Yong E-mail:hongyonggdcc@yeah.net

摘要:

作为齐次函数的推广, 定义了一类准齐次函数, 研究具有准齐次积分核的Hardy-Hilbert型积分不等式, 并讨论了其等价形式和应用.

关键词: 准齐次函数, 准齐次积分核, Hardy-Hilbert型不等式, 参数

Abstract:

As a generalization of the homogeneous funiction, a quasihomogeneous function was defined and a HardyHilbert type integral inequality with a quasihomogeneous kernel was given, and its application was discussed.

Key words: quasihomogeneous function, quasihomogeneous kernel, HardyHilbert type integral inequality, parameter

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