Advances in Mathematical Inequalities

✍ Scribed by Hamid Furuichi, Shigeru / Reza Moradi

Publisher: De Gruyter
Year: 2020
Tongue: English
Leaves: 269
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Preface
Contents
1. Introduction and preliminaries
2. Refinements and reverses for Young inequality
3. Inequalities related to means
4. Norm inequalities and trace inequalities
5. Convex functions and Jensen inequality
6. Reverses for classical inequalities
7. Applications to entropy theory
8. Miscellaneous topics
Bibliography
Index

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