Riemann-Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle: With Applications to Unitary Operators in Hilbert Spaces
暫譯: 單位圓上定義的複數函數的黎曼-斯蒂爾傑斯積分不等式：及其在希爾伯特空間中的單位算子應用

Dragomir, Silvestru Sever

Riemann-Stieltjes Integral Inequalities for Complex Functions Defined on Unit Circle: With Applications to Unitary Operators in Hilbert Spaces
  • 出版商: CRC
  • 出版日期: 2019-08-12
  • 售價: $2,900
  • 貴賓價: 9.5 折 $2,755
  • 語言: 英文
  • 頁數: 160
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 036733710X
  • ISBN-13: 9780367337100

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相關主題

商品描述

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.

商品描述(中文翻譯)

本書的主要目的是介紹作者在一系列近期研究論文中獲得的與複數希爾伯特空間上單位算子的函數相關的幾個結果。獲得這些結果的基本工具是由一些新的黎曼-斯蒂爾傑斯積分不等式提供，這些不等式針對的是複數單位圓上的連續被積函數和有界變化的積分器。

特色
- 所有呈現的結果均已完全證明，並提及首次獲得這些結果的原始參考文獻。
- 本書適合各個領域的線性算子理論和數學不等式研究者使用，也適合研究生和在特定領域應用不等式的科學家。
- 以簡單、友好且易於理解的方式，為數學不等式、逼近理論和數值分析提供新的重點。

關於作者
Silvestru Sever Dragomir是澳大利亞墨爾本維多利亞大學工程與科學學院的數學不等式教授及主任。他是多篇研究論文和幾本有關數學不等式及其應用的書籍的作者。他還擔任國際數學不等式及應用研究小組（RGMIA）的主席。詳情請參見 https://rgmia.org/index.php。

作者簡介

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.

作者簡介(中文翻譯)

Silvestru Sever Dragomir 是澳大利亞墨爾本維多利亞大學工程與科學學院的數學不等式教授及系主任。他是多篇研究論文和幾本有關數學不等式及其應用的書籍的作者。他還擔任國際數學不等式及應用研究小組（RGMIA）的主席。詳情請參見 https://rgmia.org/index.php。

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