Orders of approximation by local exponential splines

DOI10.1134/S0081543814020151zbMath1308.41013OpenAlexW2005952062MaRDI QIDQ483423

Evgeny G. Pytkeev, Yuriy S. Volkov, Valerii T. Shevaldin

Publication date: 17 December 2014

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

Full work available at URL: https://doi.org/10.1134/s0081543814020151

zbMATH Keywords

approximationorder estimateslocal exponential splines

Mathematics Subject Classification ID

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

Related Items (8)

Two-scale relations for \(B\)-\(\mathcal L\)-splines with uniform knots ⋮ On uniform Lebesgue constants of local exponential splines with equidistant knots ⋮ Dual active-set algorithm for optimal 3-monotone regression ⋮ On Favard local parabolic interpolating splines with additional knots ⋮ Uniform Lebesgue constants of local spline approximation ⋮ A method for the construction of wavelet analogs by means of trigonometric \(B\)-splines ⋮ On integral Lebesgue constants of local splines with uniform knots ⋮ Local exponential splines with arbitrary knots

Cites Work

• 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
• Local spline approximation methods
• Certain linear differential operators and generalized differences
• Local approximation by splines with displacement of nodes
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