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Majorization and operator inequalities (Inequalities on Linear Operators and its Applications)

open access: yesMajorization and operator inequalities (Inequalities on Linear Operators and its Applications)
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Log-majorization Type Inequalities [PDF]

open access: yes, 2022
published
Lemos, R., Bebiano, N., Soares, G.
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Majorization and the Birthday Inequality

Mathematics Magazine, 1991
(1991). Majorization and the Birthday Inequality. Mathematics Magazine: Vol. 64, No. 3, pp. 183-188.
M. Lawrence Clevenson, William Watkins
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A note on Slepian’s inequality based on majorization

Statistics & Probability Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Ying, Zhang, Xinsheng
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Inequalities for Majorizing Analytic Functions

Journal of Mathematical Sciences, 2006
Summary: For analytic functions satisfying Meyman's majorization conditions, with the use of classical properties of conformal mappings exact inequalities complementing and strengthening the results of Akhiezer and Meyman are derived. As a corollary, for the modulus of the derivative of a rationally-trigonometric function a Bernstein type bound, which ...
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Hoeffding’s Inequality and Multivariate Majorization

1984
Many years ago Hoeffding (1956, Theorem 3) proved the following result: if X1,…, Xn are independent Bernoulli random variables and if $$\psi :\{ 0,...,n\} \to R$$ is (strictly) concave, then $${{\Bbb E}_{\bar p}}\left[ {\psi \left( {\sum\limits_{i = 1}^n {{X_i}} } \right)} \right]\underline { \leqslant \,} {{\Bbb E}_{{p_1},...,{p_n}}}\left[ {
Christian Berg   +2 more
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Majorization and Matrix Inequalities

2011
Majorization is an important tool in deriving matrix inequalities of eigenvalues, singular values, and matrix norms. In this chapter we introduce the concept of majorization, present its basic properties, and show a variety of matrix inequalities in majorization.
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