HILBERT-TYPE INEQUALITIES FOR HILBERT SPACE OPERATORS

被引：0
|
作者：
Krnic, Mario [1 ]
机构：
[1] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia
来源：
QUAESTIONES MATHEMATICAE | 2013年 / 36卷 / 02期
关键词：
Hilbert operator inequality; Holder operator inequality; Hermite-Hadamard inequality; Hilbert space; positive operator; geometric mean; homogeneous kernel; Beta function;
D O I：
10.2989/16073606.2013.801148
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish a general form of the Hilbert inequality for positive invertible operators on a Hilbert space. Special emphasis is given to such inequalities with homogeneous kernels. In some general cases the best possible constant factors are also derived. Finally, we obtain the improvement of previously deduced results, based on the application of the Hermite-Hadamard inequality.
引用
收藏
页码：209 / 223
页数：15
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