Some operator inequalities associated with Kantorovich and Holder-McCarthy inequalities and their applications

被引：20

作者：

Basaran, Hamdullah ^{[1
]}

Gurdal, Mehmet ^{[1
]}

Guncan, Aye Nur ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, Isparta, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 01期

关键词：

Reproducing kernel Hilbert space; Berezin symbol; Berezin number; positive operator; Holder-McCarthy-type inequality; Kantorovich-type inequality; Heinz-Kato inequality; REPRODUCING KERNELS; BEREZIN SYMBOLS;

D O I：

10.3906/mat-1811-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove analogs of certain operator inequalities, including Holder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms of the Berezin symbols and the Berezin number of operators on the reproducing kernel Hilbert space.

引用

页码：523 / 532

页数：10

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