Metric approximation of set-valued functions of bounded variation

DOI10.1016/j.cam.2018.09.039zbMath1405.26029OpenAlexW2894078468WikidataQ129152588 ScholiaQ129152588MaRDI QIDQ1713106

Elena E. Berdysheva, Alona Mokhov, Elza M. Farkhi, N. Richter-Dyn

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.039

zbMATH Keywords

set-valued functionscompact setspositive linear operatorsmetric integralmetric linear combinationsmetric selections

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items (3)

Metric Fourier approximation of set-valued functions of bounded variation ⋮ High-order approximation of set-valued functions ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy

Cites Work

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• The \(L_ 1\) norm of the approximation error for Bernstein-type polynomials
• Approximation of Set-Valued Functions
• Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates
• Variational Analysis

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