UNIFORM-CONVERGENCE OF LAGRANGE INTERPOLATION-BASED ON THE JACOBI NODES

Authors
KVERNADZE G
Citation
G. Kvernadze, UNIFORM-CONVERGENCE OF LAGRANGE INTERPOLATION-BASED ON THE JACOBI NODES, Journal of approximation theory, 87(2), 1996, pp. 179-193
Citations number
28
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
87
Issue
2
Year of publication
1996
Pages
179 - 193
Database
ISI
SICI code
0021-9045(1996)87:2<179:UOLIOT>2.0.ZU;2-G
Abstract
Necessary and sufficient conditions are obtained for a continuous func tion guaranteeing the uniform convergence on the whole interval [-1, 1 ] of its Lagrange interpolant based on the Jacobi nodes. The condition s are in terms of Lambda-variation, Phi-variation, the modulus of vari ation, and the Banach indicatrix of a function. (C) 1996 Academic Pres s. Inc.