Exact Lebesgue constants for interpolatory \(\mathbb L\)-splines of third order

DOI10.1134/S0001434608070055zbMath1219.41015MaRDI QIDQ635583

V. A. Kim

Publication date: 20 August 2011

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

zbMATH Keywords

B-splineLebesgue constantcontinuous bounded functioncontinuous periodic functioninterpolatory \(\mathbb L\)-splinepolynomial parabolic spline with uniform nodes

Mathematics Subject Classification ID

Spline approximation (41A15) Best constants in approximation theory (41A44)

Related Items (5)

On uniform Lebesgue constants of local exponential splines with equidistant knots ⋮ Sharp Lebesgue constants for bounded cubic interpolation \(\mathcal L\)-splines ⋮ Generalized \((\kappa,\mu)\)-space forms ⋮ On Lebesgue constants of local parabolic splines ⋮ Lebesgue constants for some interpolating \(L\)-splines

Cites Work

• The Lebesgue constants for cardinal spline interpolation
• Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes
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