Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle: with Applications to Unitary Operators in Hilbert Spaces, 1st Edition (Hardback) book cover

Riemann–Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle

with Applications to Unitary Operators in Hilbert Spaces, 1st Edition

By Silvestru Sever Dragomir

CRC Press

160 pages | 10 B/W Illus.

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Hardback: 9780367337100
pub: 2019-08-28
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Description

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.

Table of Contents

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.

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.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations
MAT007020
MATHEMATICS / Differential Equations / Partial
MAT012040
MATHEMATICS / Geometry / Non-Euclidean
MAT029000
MATHEMATICS / Probability & Statistics / General
MAT041000
MATHEMATICS / Numerical Analysis