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Inequalities: Theory of Majorization and Its Applications

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Cover of 'Inequalities: Theory of Majorization and Its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Doubly Stochastic Matrices
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    Chapter 3 Schur-Convex Functions
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    Chapter 4 Equivalent Conditions for Majorization
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    Chapter 5 Preservation and Generation of Majorization
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    Chapter 6 Rearrangements and Majorization
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    Chapter 7 Combinatorial Analysis
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    Chapter 8 Geometric Inequalities
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    Chapter 9 Matrix Theory
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    Chapter 10 Numerical Analysis
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    Chapter 11 Stochastic Majorizations
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    Chapter 12 Probabilistic, Statistical, and Other Applications
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    Chapter 13 Additional Statistical Applications
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    Chapter 14 Orderings Extending Majorization
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    Chapter 15 Multivariate Majorization
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    Chapter 16 Convex Functions and Some Classical Inequalities
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    Chapter 17 Stochastic Ordering
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    Chapter 18 Total Positivity
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    Chapter 19 Matrix Factorizations, Compounds, Direct Products, and M-Matrices
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    Chapter 20 Extremal Representations of Matrix Functions
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    Chapter 21 Erratum to: Additional Statistical Applications
Attention for Chapter 19: Matrix Factorizations, Compounds, Direct Products, and M-Matrices
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