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A necessary condition for convergence of interpolating parabolic and cubic splines

โœ Scribed by N. L. Zmatrakov

Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
360 KB
Volume
19
Category
Article
ISSN
0001-4346

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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