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Extensions of Hölder–McCarthy and Kantorovich inequalities and their applications
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Sodini GE.
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A note on matrix versions of Kantorovich-type inequality [PDF]
Feixiang Chen
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A characterization of chaotic order
The chaotic order among positive invertible operators on a Hilbert space is introduced by . Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that if and only if holds for any , where is any fixed positive number ...
Yang Changsen, Gao Fugen
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Soft Quantization Using Entropic Regularization. [PDF]
Lakshmanan R, Pichler A.
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The inefficiency of least squares: extensions of the kantorovich inequality
The usual Gauss-Markov model \(Y=X\beta +\epsilon\), with V as the dispersion matrix of \(\epsilon\), is considered. Comparisons are made between the cases when V is known (and the BLUE estimator can be used) and when V is not known (and the simple least squares estimator is used).
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Generalizations of Talagrand Inequality for Sinkhorn Distance Using Entropy Power Inequality. [PDF]
Wang S, Stavrou PA, Skoglund M.
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On the solution of generalized equations and variational inequalities
Uko and Argyros provided in [18] a Kantorovich-type theorem on the existence and uniqueness of the solution of a generalized equation of the form 𝓕 (𝓤)+ 𝓖(𝓤) ∋ 0, where f is a Fréchet-differentiable function, and g ...
Ioannis K Argyros, Saïd Hilout
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Optimal transport of vector measures. [PDF]
Ciosmak KJ.
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Recent developments of the operator Kantorovich inequality
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