Some Properties of Furuta Type Inequalities and Applications

Jiangtao Yuan and Caihong Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/457367

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:457367

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