Local exponential splines with arbitrary knots

DOI10.1134/S0081543815020194zbMath1323.41009MaRDI QIDQ2516606

E. V. Strelkova, Valerii T. Shevaldin

Publication date: 3 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential operatorarbitrary knotslocal \(L\)-splines

Mathematics Subject Classification ID

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

Related Items (1)

On Lebesgue constants of local parabolic splines

Cites Work

• Orders of approximation by local exponential splines
• Approximation by local \(\mathbb L\)-splines that are exact on subspaces of the kernel of a differential operator
• Form preservation under approximation by local exponential splines of an arbitrary order
• Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions
• Generalized divided differences, with applications to generalized B- splines
• Local spline approximation methods
• Certain linear differential operators and generalized differences
• A recurrence formula for generalized divided differences and some applications
• Local approximation by splines with displacement of nodes
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