Minimal degree univariate piecewise polynomials with prescribed Sobolev regularity

DOI10.1016/j.jat.2011.09.008zbMath1242.41018OpenAlexW1990772673MaRDI QIDQ657432

Amal Al-Rashdan, Michael J. Johnson

Publication date: 16 January 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.09.008

zbMATH Keywords

positive definite functioncompactly supported\(B\)-spline piecewise polynomial

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items (3)

Uniformly bounded Lebesgue constants for scaled cardinal interpolation with Matérn kernels ⋮ Compactly supported, piecewise polyharmonic radial functions with prescribed regularity ⋮ Closed form representations and properties of the generalised Wendland functions

Cites Work

• Unnamed Item
• The missing Wendland functions
• A practical guide to splines
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Scattered Data Approximation

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