Best constants occurring with modulus of continuity in the error estimate for spline interpolants of odd degree on equidistant grids

DOI10.1007/BF01405571zbMath0523.41009MaRDI QIDQ584649

Jianyong Qiao, Sumit K. Garg

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132945

zbMATH Keywords

equidistant gridsperiodic spline interpolantspolynomial splines of odd degree

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Best constants in approximation theory (41A44)

Related Items (3)

Optimizing at the end-points the Akima's interpolation method of smooth curve fitting ⋮ Fifty years of Schoenberg's problem on the convergence of spline interpolation ⋮ Pointwise error bounds for orthogonal cardinal spline approximation

Cites Work

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• Cardinal interpolation and spline functions. II: Interpolation of data of power growth
• Extremal spline bases
• The Lebesgue constants for cardinal spline interpolation
• Best bounds for the uniform periodic spline interpolation operator

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