On a generalization of an approximation operator defined by A. Guessab

DOI10.1080/03081087.2019.1673293OpenAlexW2977648037MaRDI QIDQ4959315

Tahere Azimi Roushan, Ali Taghavi

Publication date: 13 September 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1673293

zbMATH Keywords

double operator integralsbarycentric approximationoperator convex function

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

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• Approximations of differentiable convex functions on arbitrary convex polytopes
• Hermite-Hadamard's type inequalities for operator convex functions
• Numerical integration using integrals over hyperplane sections of simplices in a triangulation of a polytope
• The Lifshitz–Krein trace formula and operator Lipschitz functions
• Operator Lipschitz functions
• Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
• Convexity
• Convex functions and their applications. A contemporary approach

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