Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines

DOI10.1007/s11202-010-0026-3zbMath1205.41010OpenAlexW1991695298MaRDI QIDQ606021

V. A. Kim

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0026-3

zbMATH Keywords

interpolationapproximationsplineLebesgue constant\(\mathcal L\)-spline

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (3)

On uniform Lebesgue constants of local exponential splines with equidistant knots ⋮ Upper bounds for uniform Lebesgue constants of interpolation periodic sourcewise representable splines ⋮ Lebesgue constants for some interpolating \(L\)-splines

Cites Work

• Exact Lebesgue constants for interpolatory \(\mathbb L\)-splines of third order
• The Lebesgue constants for cardinal spline interpolation
• Best bounds for the uniform periodic spline interpolation operator
• Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes
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