A sharp error bound in terms of an averaged modulus of smoothness for Fourier Lagrange coefficients

DOI10.1007/s00025-011-0200-3zbMath1266.42006OpenAlexW2065770361MaRDI QIDQ1936929

Steffen J. Goebbels

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0200-3

zbMATH Keywords

aliasingresonance principlesharp error boundsaveraged modulus of smoothness\(\tau\)-modulus

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Rate of convergence, degree of approximation (41A25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations

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• A resonance principle with rates in connection with pointwise estimates for the approximation by interpolation processes

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