Pointwise simultaneous approximation for Baskakov quasi-interpolants

被引:1
作者
Jiang, H. [1 ]
Xie, L. [1 ]
机构
[1] Lishui Univ, Dept Math, Lishui 323000, Peoples R China
基金
芬兰科学院;
关键词
Baskakov quasi-interpolants; simultaneous approximation; equivalence theorem; Ditzian-Totik modulus;
D O I
10.1007/s10474-009-8239-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recently P. Mache and M. W. Muller introduced the Baskakov quasi-interpolants and obtained an approximation equivalence theorem. In this paper we consider simultaneous approximation equivalence theorem for Baskakov quasi-interpolants.
引用
收藏
页码:209 / 226
页数:18
相关论文
共 9 条
[1]   DIRECT ESTIMATE FOR BERNSTEIN POLYNOMIALS [J].
DITZIAN, Z .
JOURNAL OF APPROXIMATION THEORY, 1994, 79 (01) :165-166
[2]   Pointwise approximation by Baskakov quasi-interpolants [J].
Guo, SS ;
Qi, QL ;
Liu, LX .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) :1011-1020
[3]   Pointwise estimate for linear combinations of Bernstein-Kantorovich operators [J].
Guo, SS ;
Liu, LX ;
Qi, QL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (01) :135-147
[4]  
JIANG H, 2008, ANAL THEORY APPL, V24, P120
[5]   Approximation by Bernstein quasi-interpolants [J].
Mache, P ;
Mache, DH .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2001, 22 (01) :159-175
[6]  
MACHE P, 2002, MATH BALKANICA, V16, P131
[7]   The central approximation theorems for the method of left gamma quasi-interpolants in Lp spaces [J].
Müller, MW .
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2001, 3 (03) :207-222
[8]  
Sablonnière P, 1999, INT S NUM M, V132, P233
[9]   Pointwise simultaneous approximation by combinations of Baskakov operators [J].
Sen Xie, Lin ;
Shi, Zhong Rui .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (05) :935-944