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Some Properties of Furuta Type Inequalities and Applications

Jiangtao Yuan and Caihong Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:457367

DOI: 10.1155/2014/457367

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