On the region for convergence of trigonometric interpolation for analytic functions

被引：0

作者：

Du, JY ^{[1
]}

Hua, L ^{[1
]}

机构：

[1] Wuhan Univ, Dept Math, Wuhan 430072, Hubei, Peoples R China

来源：

PROGRESS IN ANALYSIS, VOLS I AND II | 2003年

关键词：

trigonometric interpolation; perfect convergence; full convergence; convergence with preassigned nodal sets;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the convergence of the trigonometric interpolation for 2pi-periodic analytic functions on [0, 2pi] with a sequence of preassigned nodal sets are discussed.

引用

页码：801 / 806

页数：6

共 50 条

[21] CONVERGENCE OF LACUNARY TRIGONOMETRIC INTERPOLATION ON EQUIDISTANT NODES
RIEMENSCHNEIDER, S
SHARMA, A
SMITH, PW
ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1982, 39 (1-3): : 27 - 37
[22] LACUNARY TRIGONOMETRIC INTERPOLATION ON EQUIDISTANT NODES (CONVERGENCE)
SHARMA, A
VARMA, AK
JOURNAL OF APPROXIMATION THEORY, 1982, 35 (01) : 45 - 63
[23] ON THE RATE OF CONVERGENCE OF A LACUNARY TRIGONOMETRIC INTERPOLATION PROCESS
SZABADOS, J
ACTA MATHEMATICA HUNGARICA, 1986, 47 (3-4) : 361 - 370
[24] TRIGONOMETRIC INTERPOLATION OF FUNCTIONS OF BOUNDED VARIATION
PRESTIN, J
MATHEMATISCHE NACHRICHTEN, 1985, 122 : 29 - 43
[25] The Problem of Convergence in Point Trigonometric Interpolation Process of Lagrange
Borisova, L., V
Shatalina, A., V
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2010, 10 (01): : 9 - 14
[26] THE EXACT ERROR OF TRIGONOMETRIC INTERPOLATION FOR DIFFERENTIABLE FUNCTIONS
SZABADOS, J
CONSTRUCTIVE APPROXIMATION, 1992, 8 (02) : 203 - 210
[27] INTERPOLATION BY ANALYTIC-FUNCTIONS
STRAY, A
PACIFIC JOURNAL OF MATHEMATICS, 1972, 42 (02) : 527 - &
[28] ESTIMATES IN TRIGONOMETRIC INTERPOLATION AND IN DETERMINATION OF CONJUGATE FUNCTIONS
GAIER, D
COMPUTING, 1974, 12 (02) : 145 - 148
[29] GENERALIZED INTERPOLATION BY ANALYTIC FUNCTIONS
SATO, D
STRAUS, EG
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (1P1) : 32 - &
[30] A duality in interpolation to analytic functions by rational functions
Walsh, JL
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1933, 19 : 1049 - 1053

← 1 2 3 4 5 →