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A Note on Kantorovich Inequality for Hermite Matrices [PDF]
Journal of Inequalities and Applications, 2011 A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to prove the inequality.
Wang Kanmin, Xu Chengfeng, Liu Zhibing
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Refinements of Kantorovich Inequality for Hermitian Matrices [PDF]
Journal of Applied Mathematics, 2012 Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
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Sobolev-Kantorovich Inequalities [PDF]
Analysis and Geometry in Metric Spaces, 2015 In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
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Several Matrix Euclidean Norm Inequalities Involving Kantorovich Inequality
Journal of Inequalities and Applications, 2009 Kantorovich inequality is a very useful tool to study the inefficiency of the ordinary least-squares estimate with one regressor. When regressors are more than one statisticians have to extend it.
Wang Litong, Yang Hu
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On the Kantorovich inequality [PDF]
Proceedings of the American Mathematical Society, 1960 by the generalized Schwarz inequality [2, p. 262]. Now (2) follows immediately from (1) and (3), using (U*y, U*y) = (y, y). If aC is finite dimensional, the bound is attained for x U*y =u-+v, where u and v are unit eigenvectors of A corresponding to eigenvalues m and M. In the general case, the bound need not be attained; but a sequence xn= U*yn=un+vn,
Gilbert Strang
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New Refinement of the Operator Kantorovich Inequality [PDF]
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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A glimpse at the operator Kantorovich inequality [PDF]
Linear and Multilinear Algebra, 2018 to appear in Linear Multilinear ...
Hamid Reza Moradi +2 more
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On a Kantorovich-Rubinstein inequality [PDF]
Journal of Mathematical Analysis and Applications, 2021 An easy consequence of Kantorovich-Rubinstein duality is the following: if $f:[0,1]^d \rightarrow \infty$ is Lipschitz and $\left\{x_1, \dots, x_N \right\} \subset [0,1]^d$, then $$ \left| \int_{[0,1]^d} f(x) dx - \frac{1}{N} \sum_{k=1}^{N}{f(x_k)} \right| \leq \left\| \nabla f \right\|_{L^{\infty}} \cdot W_1\left( \frac{1}{N} \sum_{k=1}^{N}{ _{x_k}} ,
Stefan Steinerberger
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Kantorovich type operator inequalities for Furuta inequality [PDF]
Operators and Matrices, 2007 In this paper, we shall present Kantorovich type operator inequalities for Furuta inequality related to the usual order and the chaotic one in terms of a generalized Kantorovich constant, a generalized condition number and the Specht ratio, in which we use variants of the grand Furuta inequality. Mathematics subject classification (2000): 47A63.
Yuki Seo
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Refinements of Kantorovich type, Schwarz and Berezin number inequalities
Extracta Mathematicae, 2020 In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where
M. Garayev +3 more
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