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On the convergence of multivariable Lagrange interpolants

✍ Scribed by Thomas Bloom


Publisher
Springer
Year
1989
Tongue
English
Weight
811 KB
Volume
5
Category
Article
ISSN
0176-4276

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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