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Schur-Convex Functions and Inequalities
Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
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Language:
English
Published/Copyright:
2019
About this book
This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.
- A systematic presentation of Schur-convex functions, covering both classical and recent results.
- Combines theory with practical examples and applications.
- Of interest to researchers and graduate students in mathematical analysis and optimization.
Author / Editor information
Huan-Nan Shi, Teacher's College of Beijing Union University, China.
Topics
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Frontmatter
I -
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Contents
VII -
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Preface
IX -
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Introduction
XI -
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Acknowledgment
XV -
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Notation and symbols
XVII -
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1. Majorization
1 -
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2. Definitions and properties of Schur-convex functions
51 -
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3. Schur-convex functions and elementary symmetric function inequalities
135 -
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4. Schur-convex functions and other symmetric function inequalities
179 -
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Bibliography
205 -
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Index
213
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 17, 2019
eBook ISBN:
9783110607840
Hardcover published on:
June 17, 2019
Hardcover ISBN:
9783110606126
Pages and Images/Illustrations in book
Front matter:
18
Main content:
218
Audience(s) for this book
Researchers and graduate students in mathematics.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
