Form preservation under approximation by local exponential splines of an arbitrary order

DOI10.1134/S0081543812050173zbMath1301.41009MaRDI QIDQ742286

E. V. Strelkova, Valerii T. Shevaldin

Publication date: 18 September 2014

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

zbMATH Keywords

differential operatorkernelgeneralized monotonicityform preservationlocal L-spline

Mathematics Subject Classification ID

Difference operators (39A70) Spline approximation (41A15)

Related Items (3)

Orders of approximation by local exponential splines ⋮ On Lebesgue constants of local parabolic splines ⋮ Local exponential splines with arbitrary knots

Cites Work

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• Approximation by local \(\mathbb L\)-splines that are exact on subspaces of the kernel of a differential operator
• On recursions for generalized splines
• On real-analytic recurrence relations for cardinal exponential B-splines
• Form-preserving exponential approximation
• On the recurrence relations for B-splines defined by certain L-splines
• Local spline approximation methods

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