Some Properties of Furuta Type Inequalities and Applications

Some Properties of Furuta Type Inequalities and Applications
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Furuta型不等式的一些性质及应用

DOI:
10.1155/2014/457367
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发表时间:
2014-04
影响因子:
--
通讯作者:
Wang, Caihong
Wang, Caihong
中科院分区:
--
文献类型:
--
作者:
Yuan, Jiangtao;Wang, Caihong

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This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities under 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.
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