Results 21 to 30 of about 7,376 (127)
Kantorovich type reverse inequalities for operator norm [PDF]
Mathematical Inequalities & Applications, 2005 The authors extend a theorem of Bourin, contained in the electronically available monograph [\textit{J.--C. Bourin}, ``Compressions, Dilations and Matrix Inequalities'' (RGMIA Monographs, Victoria University) (2004; http://rgmia.vu.edu.au/monographs/matrix.html)]) to the framework of operators on a Hilbert space by applying the Mond--Pečarić method for
Fujii, Jun Ichi +2 more
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Multiple-Term Refinements of Young Type Inequalities
Journal of Mathematics, 2016 Recently, a multiple-term refinement of Young’s inequality has been proved. In this paper, we show its reverse refinement. Moreover, we will present multiple-term refinements of Young’s inequality involving Kantorovich constants.
Daeshik Choi
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Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures [PDF]
, 2017 We study general geometric properties of cone spaces, and we apply them on the Hellinger--Kantorovich space $(\mathcal{M}(X),\mathsf{H\hspace{-0.25em} K}_{\alpha,\beta}).$ We exploit a two-parameter scaling property of the Hellinger-Kantorovich metric $ \
Laschos, Vaios, Mielke, Alexander
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Refined Young inequality with Kantorovich constant [PDF]
Journal of Mathematical Inequalities, 2011 The Specht ratio S(h) is the optimal constant in the reverse of the arithmetic-geometric mean inequality, i.e., if 0 0, μ ∈ (0,1) ,w hereh = b and r = min{μ,1 − μ}. In this paper, we improve it by virtue of the Kantorovich constant, utilizing the refined scalar Young inequality we establish a weighted arithmetic-geometric-harmonic mean inequality for
Hongliang Zuo +2 more
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Optimal transportation, topology and uniqueness [PDF]
, 2010 The Monge-Kantorovich transportation problem involves optimizing with respect to a given a cost function. Uniqueness is a fundamental open question about which little is known when the cost function is smooth and the landscapes containing the goods to be
Ahmad, Najma +2 more
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Extreme points of a ball about a measure with finite support [PDF]
, 2016 We show that, for the space of Borel probability measures on a Borel subset of a Polish metric space, the extreme points of the Prokhorov, Monge-Wasserstein and Kantorovich metric balls about a measure whose support has at most n points, consist of ...
Owhadi, Houman, Scovel, Clint
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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.
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, 2022 We study the minimizing movement scheme for families of geodesically semiconvex functionals defined on either the Hellinger--Kantorovich or the Spherical Hellinger--Kantorovich space. By exploiting some of the finer geometric properties of those spaces, we prove that the sequence of curves, which are produced by geodesically interpolating the points ...
Laschos, Vaios, Mielke, Alexander
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Grüss-Type Bounds for the Covariance of Transformed Random Variables
Journal of Inequalities and Applications, 2010 A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision making under uncertainty rely on estimates of the covariance between (transformed) random variables, which can, for example, be losses, risks, incomes ...
Martín Egozcue +3 more
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Generalizations of the Kantorovich and Wielandt Inequalities with Applications to Statistics
MathematicsBy utilizing the properties of positive definite matrices, mathematical expectations, and positive linear functionals in matrix space, the Kantorovich inequality and Wielandt inequality for positive definite matrices and random variables are obtained ...
Yunzhi Zhang +3 more
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