Pointwise error bounds for orthogonal cardinal spline approximation

DOI10.1016/S0096-3003(01)00074-1zbMath1019.41007MaRDI QIDQ1855673

Sven Ehrich

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

orthogonal approximationcardinal splinesPeano kernelspointwise error boundsspline wavelet expansion

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Uses Software

• Mathematica

Cites Work

• Best constants occurring with modulus of continuity in the error estimate for spline interpolants of odd degree on equidistant grids
• Über die Norm des Operators der kardinalen Spline-Interpolation
• Exact bounds for the uniform approximation by cardinal spline interpolants
• Sard-optimal prefilters for the fast wavelet transform
• A family of polynomial spline wavelet transforms
• Wavelets with exponential localization
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• On Compactly Supported Spline Wavelets and a Duality Principle
• ERROR BOUNDS FOR LINEAR APPROXIMATIONS ON THE REAL LINE
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