Approximation of the singularities of a bounded function by the partial sums of its differentiated Fourier series

DOI10.1006/acha.2001.0362zbMath0999.42009OpenAlexW2139580759MaRDI QIDQ5956056

George Kvernadze

Publication date: 19 February 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2001.0362

zbMATH Keywords

Fourier seriesapproximation of singularities

Mathematics Subject Classification ID

Harmonic analysis in one variable (42A99) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (6)

Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients ⋮ On the jump behavior of distributions and logarithmic averages ⋮ On determination of jumps in terms of Abel-Poisson mean of Fourier series ⋮ Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients ⋮ Detecting the singularities of a function of \(V_p\) class by its integrated Fourier series ⋮ Determination of jumps of distributions by differentiated means

Cites Work

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• Rational trigonometric approximations using Fourier series partial sums
• Determination of the jump of a function of bounded \(p\)-variation by its Fourier series
• Some Remarks on Functions of Λ-Bounded Variation
• Essentially Nonoscillatory Spectral Fourier Method for Shocks Wave Calculations
• Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions
• Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
• On convergence of Fourier series of functions of generalized bounded variation

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