Average error bounds of trigonometric approximation on periodic Wiener spaces

DOI10.1007/s10114-012-1042-yzbMath1261.41001OpenAlexW2060637036MaRDI QIDQ1940883

Chengyong Wang, Rui-Min Wang

Publication date: 8 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-1042-y

zbMATH Keywords

trigonometric polynomial approximationaverage error boundsperiodic Wiener spaces

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convolution, factorization for one variable harmonic analysis (42A85) Approximation by operators (in particular, by integral operators) (41A35) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• \(\mu\)-average \(n\)-widths on the Wiener space
• Average error bounds of best approximation of continuous functions on the Wiener space
• Approximation of linear operators on a Wiener space
• Approximation and optimization on the Wiener space

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