Dictionary of Inequalities, Second Edition

Features

• Allows readers to easily find an inequality by name or subject
• Provides over 100 new inequalities, including recently discovered ones
• Includes an author index for the first time
• Reflects the most recent research on the inequalities
• Updates all references and the bibliography

Summary

Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities, and sources of information on proofs and other details. The book does not include proofs and uses basic mathematical terminology as much as possible, enabling readers to access a result or inequality effortlessly.

New to the Second Edition

• More than 100 new inequalities, including recently discovered ones
• Updated inequalities according to the most recent research
• Inclusion of a name index
• Updated bibliography that contains URLs for important references

The book mainly presents the most common version of the inequality and later gives more general results as extensions or variants. Inequalities that exist at various levels of generality are presented in the simplest form with the other forms as extensions or under a different heading. The author also clarifies any non-standard notations and includes cross-references for transliterations.

Table of Contents

Introduction

Notations

Abel–Arithmetic

Backward–Bushell

Čakalov–Cyclic

Davies–Dunkl

Efron–Extended

Factorial–Furuta

Gabriel–Guha

Haber–Hyperbolic

Incomplete–Iyengar

Jackson-Jordan

Kaczmarz–Ky Fan

Labelle–Lyons

Mahajan–Myers

Nanjundiah–Number

Operator–Ōzeki

Pachpatte–Ptolemy

Q-Class–Quaternion

Rademacher–Rotation

Saffari–Székely

Talenti–Turán

Ultraspherical–von Neumann

Wagner–Wright

Yao–Zeta

Bibliography

Name Index

Index

Author(s) Bio

Peter Bullen is a professor emeritus in the Department of Mathematics at the University of British Columbia. Dr. Bullen is a member of the Canadian Mathematical Society, the American Mathematical Society, and the Mathematical Association of America. His research focuses on real analysis, including non-absolute integrals and inequalities.