1st Edition

Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle with Applications to Unitary Operators in Hilbert Spaces

By Silvestru Sever Dragomir Copyright 2020
160 Pages 10 B/W Illustrations
by CRC Press

160 Pages 10 B/W Illustrations
by CRC Press

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.... Read more

1 Introduction

2 Ostrowski Type Inequalities

3 Trapezoid Type Inequalities

4 Generalized Trapezoid Inequalities

5 Quasi Grüss Type Inequalities

6 Grüss Type Inequalities

7 Inequalities for Bounded Functions.

Biography

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.