Moduli of smoothness of vector valued functions of a real variable and applications

DOI10.1080/01630569008816385zbMath0699.65039OpenAlexW1979146925MaRDI QIDQ3477891

Elza M. Farkhi, Tzanko Donchev

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816385

zbMATH Keywords

set-valued mapsdifferential inclusionspolynomial approximationestimatesquadrature formulaemoduli of smoothnessabstract differential equationsinterval functionsBanach space valued functionsWhitney theorem

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Interval and finite arithmetic (65G30) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Algorithms for approximation of functions (65D15)

Related Items (8)

Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates ⋮ Regularity and integration of set-valued maps represented by generalized Steiner points ⋮ Metric Fourier approximation of set-valued functions of bounded variation ⋮ On the optimal recovery of integrals of set-valued functions ⋮ Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis ⋮ High-order approximation of set-valued functions ⋮ Set-valued Hermite interpolation ⋮ Construction of the minimum time function for linear systems via higher-order set-valued methods

Cites Work

• Orlicz spaces and modular spaces
• Embedding theorems for classes of convex sets
• A differential calculus for multifunctions
• An Embedding Theorem for Spaces of Convex Sets
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