Advances in Mathematical Inequalities

Shigeru Furuichi

Published by De Gruyter 2020

Advances in Mathematical Inequalities

Shigeru Furuichi

https://doi.org/10.1515/9783110643473

Overview
Contents

About this book

Mathematical inequalities are essential tools in mathematics, natural science and engineering. This book gives an overview on recent advances. Some generalizations and improvements for the classical and well-known inequalities are described. They will be applied and further developed in many fields. Applications of the inequalities to entropy theory and quantum physics are also included.

-most recent research - provenience of authors is renowned for the topic

Author information

Shigeru Furuichi, Tokyo; Hamid Reza Moradi, Mashhad, Iran.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
1. Introduction and preliminaries Requires Authentication Unlicensed Licensed Download PDF	1
2. Refinements and reverses for Young inequality Requires Authentication Unlicensed Licensed Download PDF	9
3. Inequalities related to means Requires Authentication Unlicensed Licensed Download PDF	69
4. Norm inequalities and trace inequalities Requires Authentication Unlicensed Licensed Download PDF	91
5. Convex functions and Jensen inequality Requires Authentication Unlicensed Licensed Download PDF	117
6. Reverses for classical inequalities Requires Authentication Unlicensed Licensed Download PDF	179
7. Applications to entropy theory Requires Authentication Unlicensed Licensed Download PDF	197
8. Miscellaneous topics Requires Authentication Unlicensed Licensed Download PDF	225
Bibliography Requires Authentication Unlicensed Licensed Download PDF	247
Index Requires Authentication Unlicensed Licensed Download PDF	257

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Mathematicians, Natural Scientists, Engineers
Pages
- Front matter: 8
- Main content: 259

eBook

Published: January 20, 2020
ISBN: 9783110643473

Hardcover

Published: January 20, 2020
ISBN: 9783110643435