Reproducing fractional monomials: Weakening of the Strang–Fix conditions

DOI10.1142/S021969132050068XzbMath1466.41006arXiv2007.12995OpenAlexW3091419998WikidataQ125222496 ScholiaQ125222496MaRDI QIDQ4990036

Victor G. Zakharov

Publication date: 28 May 2021

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.12995

zbMATH Keywords

Strang-Fix conditionsfractional B-splinescausal and symmetric monomialsmonomials with fractional exponents

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Multidimensional problems (41A63) Spline approximation (41A15)

Cites Work

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• OPERATOR-ADAPTED WAVELETS: CONNECTION WITH THE STRANG–FIX CONDITIONS
• Ten Lectures on Wavelets
• Fractional Splines and Wavelets
• Reproducing solutions to PDEs by scaling functions
• Fractional Operators, Dirichlet Averages, and Splines
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory

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