Interpolation on Uniform Meshes by the Translates of One Function and Related Attenuation Factors

DOI10.2307/2007435zbMath0517.42004OpenAlexW4251544021MaRDI QIDQ3665617

F. Locher

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007435

zbMATH Keywords

translatesinterpolation matrixinterpolating functionattenuation factorsdiscrete Fourier coefficients

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (17)

On multivariate attenuation factors ⋮ Approximation and spectral properties of periodic spline operators ⋮ Attenuation factors in multivariate Fourier analysis ⋮ Mean square approximation by optimal periodic interpolation ⋮ Numerical solution of periodic Fredholm integral equations of the second kind by means of attenuation factors ⋮ Periodic interpolation on uniform meshes ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ Multivariate Anisotropic Interpolation on the Torus ⋮ Interpolation in harmonic Hilbert spaces ⋮ Interpolation by periodic radial basis functions ⋮ Interpolation by periodic radial functions ⋮ On the convergence of periodic splines of arbitrary degree ⋮ Approximation properties of periodic interpolation by translates of one function ⋮ \(L_ 2\)-approximation by the translates of a function and related attenuation factors ⋮ Approximation by optimal periodic interpolation ⋮ Bernoulli functions and periodic B-splines ⋮ Unnamed Item

Cites Work

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• Untersuchungen zur numerischen Fourieranalyse. (Investigations on numerical Fourier analysis)
• Approximation by periodic spline interpolants on uniform meshes
• Zur numerischen Integration periodischer Funktionen nach der Rechteckregel. (Numerical integration of periodic functions by the rectangular rule)
• Attenuation factors in practical Fourier analysis
• Optimale approximation linearer Funktionale auf periodischen Funktionen
• Fast Fourier Methods in Computational Complex Analysis

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