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The Mathematical Applications of Majorization Inequalities to Quantum Mechanics
2020We supplement some foundational theorems which connect majorization inequalities with quantum mechanics. To begin, we give the sufficient condition for bi-partite pure states entanglement transformation from the control to the controlled states which are impossible to be transformed even by catalysts.
Mengke Xu +3 more
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Inequalities via Majorization — An Introduction
1983This paper provides a brief introduction to the theory of majorization and its use in deriving inequalities. Majorization is a preordering of vectors, and inequalities are obtained from the fact that ϕ(x) ≤ ϕ(y) whenever x is majorized by y and ϕ is an order-preserving function.
Albert W. Marshall, Ingram Olkin
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Some Majorization Inequalities in Multivariate Statistical Analysis
SIAM Review, 1988This paper contains a review of certain majorization inequalities in multivariate statistical analysis. The results apply to a large class of distributions (including the multivariate normal distribution) and have implications in estimation, hypothesis testing, and other related problems in statistics.
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Subsampling quantile estimator majorization inequalities
Statistics & Probability Letters, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaigh, W. D., Sorto, Maria Alejandra
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Inequality and Majorization : Robin Hood in Unexpected Places
Calcutta Statistical Association Bulletin, 2011The Lorenz order and its mathematical cousin majorization, best understood as natural consequences of accepting as axiomatic the belief that Robin Hood's activities in robbing the rich to give to the poor reduce inequality in the distribution of wealth, have proved to be useful tools in identifying and extending inequalities in a broad spectrum of ...
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Markoff Type Inequalities for Curved Majorants
1987Let Лn be the set of all polynomials of degree at most n with complex coefficients. As usual denote by $${T_m}(x)\,:\, = \cos \,(m\,arc\,cos\,x)$$ and $${U_m}(x)\;:\; = \;{(1 = {x^2})^{ - 1/2}}\sin ((m + 1)arc\;cos\;x)$$ the Tschebyscheff polynomials of degree m of the first and second kind, respectively. Furthermore, let us write ∥·∥ for
Qazi Ibadur Rahman, Gerhard Schmeisser
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MAJOR QUESTIONS: REPRODUCING INEQUALITY THROUGH COLLEGE MAJOR DECISIONS
2020Choosing a major is a turning point in higher education in which students make decisions that have far-reaching consequences for their social/economic trajectories. These decisions often perpetuate inequality. This dissertation uses longitudinal in-depth interviews with a highly-diverse group of 50 students at UNC-Chapel Hill (N=146 interviews) to ...
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A new look at the Hardy-Littlewood-Pólya inequality of majorization
Journal of Mathematical Analysis and Applications, 2021Constantin P Niculescu
exaly
Majorization Inequality and information theory / Selected topics of majorization and applications
2019Inequalities make important part of mathematics. Majorization are used for finding some nice and applicable inaqualities.
Pečarić, Josip +2 more
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