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Convergence of cubic interpolation splines to a continuous function

โœ Scribed by A. A. Privalov


Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
606 KB
Volume
25
Category
Article
ISSN
0001-4346

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Convergence and Gibbs' phenomenon in cub
โœ Zhimin Zhang; Clyde F. Martin ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 516 KB

Convergence of cubic spline interpolation for discontinuous functions are investigated. It is shown that the complete cubic spline interpolation of the Heaviside step function converges in the LP-norm at rate O(h l/p) for quasi-uniform meshes when 1-%< p < oo, and diverges in the Lยฐยฐ-norm when the u