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.
Citation
Jiangtao Yuan. Caihong Wang. "Some Properties of Furuta Type Inequalities and Applications." Abstr. Appl. Anal. 2014 (SI43) 1 - 7, 2014. https://doi.org/10.1155/2014/457367