Uniform convergence of Lagrange interpolation based on the Jacobi nodes

被引：3

作者：

Kvernadze, G

机构：

[1] Dept. of Mathematics and Statistics, University of New Mexico, Albuquerque

来源：

JOURNAL OF APPROXIMATION THEORY | 1996年 / 87卷 / 02期

关键词：

D O I：

10.1006/jath.1996.0100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Lambda-variation, Phi-variation, the modulus of variation, and the Banach indicatrix of a function. (C) 1996 Academic Press. Inc.

引用

页码：179 / 193

页数：15

共 50 条

[1] A Criterion for the Uniform Convergence of the Lagrange-Jacobi Interpolation Process
V. V. Novikov
Mathematical Notes, 2006, 79 : 232 - 243
[2] a criterion for the uniform convergence of the Lagrange-Jacobi interpolation process
Novikov, VV
MATHEMATICAL NOTES, 2006, 79 (1-2) : 232 - 243
[3] Convergence of Lagrange interpolation on the non uniform nodes on the unit circle
Bahadur, Swarnima
Varun
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, 2022, 15 (02): : 101 - 111
[4] Convergence of lagrange interpolation processes based on new systems of nodes
F. Peherstorfer
Acta Mathematica Hungarica, 1997, 74 : 101 - 123
[5] Convergence of Lagrange interpolation processes based on new systems of nodes
Peherstorfer, F
ACTA MATHEMATICA HUNGARICA, 1997, 74 (1-2) : 101 - 123
[6] LAGRANGE INTERPOLATION ON GENERALIZED JACOBI ZEROS WITH ADDITIONAL NODES
CRISCUOLO, G
MASTROIANNI, G
ACTA MATHEMATICA HUNGARICA, 1994, 65 (01) : 27 - 49
[7] UNIFORM-CONVERGENCE OF DERIVATIVES OF LAGRANGE INTERPOLATION
MASTROIANNI, G
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1992, 43 (1-2) : 37 - 51
[8] UNIFORM-CONVERGENCE OF LAGRANGE INTERPOLATION PROCESSES
PRIVALOV, AA
MATHEMATICAL NOTES, 1986, 39 (1-2) : 124 - 133
[9] ONE-SIDED CONVERGENCE CONDITIONS FOR LAGRANGE INTERPOLATION BASED ON THE JACOBI ROOTS
VERTESI, P
ACTA SCIENTIARUM MATHEMATICARUM, 1983, 45 (1-4): : 419 - 428
[10] Convergence of Lagrange-Hermite Interpolation Using Non-uniform Nodes on the Unit Circle
Bahadur, Swarnima
Iqram, Sameera
Varun
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2023, 18 (02):

← 1 2 3 4 5 →