Some Properties of Furuta Type Inequalities and Applications
Copyright policy )Some Properties of Furuta Type Inequalities and Applications
This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities underA≥B≥0are 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.
- Henan Polytechnic University China (People's Republic of)
Riccati-type operator equation, QA1-939, Linear operator inequalities, Furuta-type inequalities, Mathematics, Equations involving linear operators, with operator unknowns
Riccati-type operator equation, QA1-939, Linear operator inequalities, Furuta-type inequalities, Mathematics, Equations involving linear operators, with operator unknowns
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