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Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes

โœ Scribed by Giuliana Criscuolo; Guiseppe Mastroianni; Paul Nevai


Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
791 KB
Volume
163
Category
Article
ISSN
0025-584X

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โœฆ Synopsis


Abstract

Weighted L^p^ convergence of derivatives of extended Lagrange interpolation at the union of zeros of generalized Jacobi polynomials and some additional points is investigated.


๐Ÿ“œ SIMILAR VOLUMES


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