Metric Fourier approximation of set-valued functions of bounded variation

DOI10.1007/s00041-021-09812-7zbMath1475.42008arXiv2008.10340OpenAlexW3135565898MaRDI QIDQ2658733

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

Publication date: 24 March 2021

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10340

zbMATH Keywords

set-valued functionsfunction of bounded variationcompact setsmetric integralmetric linear combinationsmetric selectionsmetric approximation operatorstrigonometric Fourier approximation

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) Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• Set-valued Hermite interpolation
• Approximations of set-valued functions by metric linear operators
• Piecewise linear approximations of set-valued maps
• Approximation of convex set-valued functions
• Spline subdivision schemes for convex compact sets
• The metric integral of set-valued functions
• Metric approximation of set-valued functions of bounded variation
• Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials
• On mappings of bounded variation
• Fuzzy mathematics: approximation theory
• Integrals of set-valued functions
• Regularity and integration of set-valued maps represented by generalized Steiner points
• Approximation of Set-Valued Functions
• Set-Valued Approximations with Minkowski Averages – Convergence and Convexification Rates
• Moduli of smoothness of vector valued functions of a real variable and applications
• Variational Analysis
• Fuzzy Fourier transforms and their application to fingerprint identification
• Korovkin-type approximation in spaces of vector-valued and set-valued functions
• [1]
• Set-valued analysis
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