Hardy's inequality in several variables

被引:6
|
作者
Salem, S [1 ]
Khan, ZAA
Redheffer, R
机构
[1] Girls Coll Educ, Dept Math, Riyadh, Saudi Arabia
[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
D O I
10.1006/jmaa.2000.6961
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We extend Hardy's discrete inequality to multiple series. For an r-fold series the correct constant is (c(p))(r), where c(p) is the constant in Hardy's original theorem. This constant is optimum and the inequality is strict unless all variables in it are 0. (C) 2000 Academic Press.
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页码:989 / 993
页数:5
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