Some Properties of Furuta Type Inequalities and Applications

被引：0

作者：

Yuan, Jiangtao ^{[1
]}

Wang, Caihong ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

OPERATORS;

D O I：

10.1155/2014/457367

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities under A >= B >= 0 are obtained via Loewner-Heinz inequality; as an application, a proof of Furuta inequality is given without using the invertibility of operators. Secondly, we show a unified satellite theorem of grand Furuta inequality which is an extension of the results by Fujii et al. At the end, a kind of Riccati type operator equation is discussed via Furuta type inequalities.

引用

页数：7

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