Results 31 to 40 of about 4,878 (176)
Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
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Operator inequalities associated with the Kantorovich type inequalities for s-convex functions
Indian Journal of Pure and Applied Mathematics, 2022 In this paper, we prove some operator inequalities associated with an extension of the Kantorovich type inequality for $s$-convex function. We also give an application to the order preserving power inequality of three variables and find a better lower bound for the numerical radius of a positive operator under some conditions.
Ismail Nikoufar, Davuod Saeedi
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Operator iteration on the Young inequality
Journal of Inequalities and Applications, 2016 In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
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Kantorovich type operator inequalities via the Specht ratio
Linear Algebra and its Applications, 2004 The generalized Specht ratio is defined for every \(r\in \mathbb{R}\), \(k> 0\), as \[ S_k(r)= {(k^r- 1)k^{{r\over k^r-1}}\over re\log k}\text{ when }k\neq 1\text{ and }S_1(r)= 1. \] This ratio has been used by some authors in the theory of Hilbert space operator inequalities. For example, \textit{J. I. Fujii}, \textit{T. Furuta}, \textit{T.
Fujii, Jun Ichi +2 more
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Generalizing the Kantorovich Metric to Projection-Valued Measures [PDF]
, 2016 Given a compact metric space $X$, the collection of Borel probability measures on $X$ can be made into a compact metric space via the Kantorovich metric. We partially generalize this well known result to projection-valued measures. In particular, given a
Davison, Trubee
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Approximations of Antieigenvalue and Antieigenvalue-Type Quantities
International Journal of Mathematics and Mathematical Sciences, 2012 We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type ...
Morteza Seddighin
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Structure of the antieigenvectors of a strictly accretive operator
International Journal of Mathematics and Mathematical Sciences, 1998 A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The
K. C. Das, M. Das Gupta, K. Paul
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Kantorovich-type inequalities for operators via D-optimal design theory
Linear Algebra and its Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pronzato, Luc +2 more
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The Schr\"odinger Equation in the Mean-Field and Semiclassical Regime
, 2016 In this paper, we establish (1) the classical limit of the Hartree equation leading to the Vlasov equation, (2) the classical limit of the $N$-body linear Schr\"{o}dinger equation uniformly in N leading to the N-body Liouville equation of classical ...
Golse, François, Paul, Thierry
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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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