RiemannStieltjes Integral Inequalities for Complex Functions Defined on Unit Circle

The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. The fundamental tools to obtain these results are provided by some new Riemann-Stieltjes integral inequalities of continuous integrands on the complex unit circle and integrators of bounded variation. Features All the results presented are completely proved and the original references where they have been firstly obtained are mentioned Intended for use by both researchers in various fields of Linear Operator Theory and Mathematical Inequalities as well as by postgraduate students and scientists applying inequalities in their specific areas Provides new emphasis to mathematical inequalities approximation theory and numerical analysis in a simple friendly and well-digested manner. About the Author Silvestru Sever Dragomir is Professor and Chair of Mathematical Inequalities at the College of Engineering & Science Victoria University Melbourne Australia. He is the author of many research papers and several books on Mathematical Inequalities and their Applications. He also chairs the international Research Group in Mathematical Inequalities and Applications (RGMIA). For details see https://rgmia. org/index. php. . Language: English