Results 41 to 50 of about 7,613 (204)
Operator iteration on the Young inequality
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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Optimal transportation with traffic congestion and Wardrop equilibria
In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by this mass. Thus, it does not allow for congestion effects.
Carlier, G. +2 more
core +4 more sources
Improvements of operator reverse AM-GM inequality involving positive linear maps
In this paper, we shall present some reverse arithmetic-geometric mean operator inequalities for unital positive linear maps. These inequalities improve some corresponding results due to Xue (J. Inequal. Appl. 2017:283, 2017).
Shazia Karim +2 more
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Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
wiley +1 more source
Robust Λ$\Lambda$‐Quantiles and Extremal Distributions
ABSTRACT In this paper, we investigate the robust models for Λ$\Lambda$‐quantiles with partial information regarding the loss distribution, where Λ$\Lambda$‐quantiles extend the classical quantiles by replacing the fixed probability level with a probability/loss function Λ$\Lambda$.
Xia Han, Peng Liu
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The Schr\"odinger Equation in the Mean-Field and Semiclassical Regime
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
core +3 more sources
Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators
ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel +3 more
wiley +1 more source
Structure of the antieigenvectors of a strictly accretive operator
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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ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
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Operator versions of the Kantorovich inequality [PDF]
The Operator Kantorovich Inequality \[ ( R 2 − r 2 ) u ∗ ( a ∗ a ) u ≤ R 2 ( u ∗
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