On the convergence rate of a modified Fourier series

DOI10.1090/S0025-5718-09-02204-2zbMath1204.65166MaRDI QIDQ3055163

Sheehan Olver

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Fourier expansionconvergence accelerationconvergence rateorthogonal seriesmodified Fourier seriesFilon-type quadratureasymptotic expansion of pointwise errorefficient computation of coefficientsquadrature of oscillatory functionsRichardson-like extrapolation

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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