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Local behaviors of Fourier expansions for functions of limited regularities

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Publication:6561369
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DOI10.1007/s10444-024-10136-5zbMath1542.65139MaRDI QIDQ6561369

Shunfeng Yang, Shuhuang Xiang

Publication date: 25 June 2024

Published in: Advances in Computational Mathematics (Search for Journal in Brave)



zbMATH Keywords

regularityFourier expansionconvergence rateprojection approximationwindow functionpointwise error


Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) 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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