Approximating the jump discontinuities of a function by its Fourier-Jacobi coefficients

DOI10.1090/S0025-5718-03-01594-1zbMath1041.65112MaRDI QIDQ4452158

George Kvernadze

Publication date: 12 February 2004

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

zbMATH Keywords

numerical examplespiecewise smooth functionFourier-Jacobi coefficientsFourier-Chebyshev coefficientslocation of discontinuities

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (6)

Approximation of the discontinuities of a function by its classical orthogonal polynomial Fourier coefficients ⋮ How well does the Hermite–Padé approximation smooth the Gibbs phenomenon? ⋮ Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm ⋮ A note on singularity approximation ⋮ Algebraic Fourier reconstruction of piecewise smooth functions ⋮ Complete algebraic reconstruction of piecewise-smooth functions from Fourier data

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