General Hilbert's and Hardy's inequalities

被引:0
作者
Krnic, M
Pecaric, J
机构
[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia
[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 01期
关键词
inequalities; Hilbert's inequality; Hardy's inequality; Holder's inequality; homogeneous function; kernel; reverse inequality; equivalent inequalities;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we make some further generalizations of well known Hilbert's inequality and its equivalent form in two dimensional case. We also derive some results on Hardys inequality. Then we apply our general results to homogenous functions. A reverses of Hilbert's inequality are also given in integral case. Many other results of this type in recent years, follows as a special case of out results.
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页码:29 / 51
页数:23
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