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Local Convergence of Lagrange Interpolation Associated with Equidistant Nodes

โœ Scribed by X. Li; E.B. Saff


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
374 KB
Volume
78
Category
Article
ISSN
0021-9045

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Uniform Convergence of Lagrange Interpol
โœ George Kvernadze ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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