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Notes on the convergence of the lagrange interpolation

✍ Scribed by O. Kis; J. Szabados


Publisher
Akadmiai Kiad
Year
1965
Tongue
English
Weight
59 KB
Volume
16
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES


Uniform Convergence of Lagrange Interpol
✍ George Kvernadze πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 485 KB

Necessary and sufficient conditions are obtained for a continuous function guaranteeing the uniform convergence on the whole interval [ &1, 1] of its Lagrange interpolant based on the Jacobi nodes. The conditions are in terms of 4-variation, 8-variation, the modulus of variation, and the Banach indi