Approximation by Bernstein quasi-interpolants

被引：10
|
作者：
Mache, P
Mache, DH
机构：
[1] Fern Univ Hagen, LG Numer Math, D-58084 Hagen, Germany
[2] Univ Dortmund, Inst Angew Math, D-44221 Dortmund, Germany
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2001年 / 22卷 / 01期
关键词：
D O I：
10.1081/NFA-100103792
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The characterization on the global rate of approximation was solved by the method of quasi-interpolants. The linear combinations of Bernstein-type sequences or a family of intermediate Bernstein operators were considered for faster convergence. It was proved that the Bernstein operator can be expressed as a linear differential operator with polynomial coefficients.
引用
收藏
页码：159 / 175
页数：17
相关论文
共 50 条
  • [1] Pointwise approximation by Bernstein quasi-interpolants
    Guo, SS
    Zhang, GS
    Qi, QL
    Liu, LX
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (3-4) : 339 - 349
  • [2] Lp approximation by Bernstein-Kantorovich quasi-interpolants
    Liu Li-xia
    Shi Ling
    Guo Shun-sheng
    [J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) : 200 - 208
  • [3] Lp approximation by Bernstein-Kantorovich quasi-interpolants
    Li-xia Liu
    Ling Shi
    Shun-sheng Guo
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2009, 24 : 200 - 208
  • [4] Lp approximation by Bernstein-Kantorovich quasi-interpolants
    LIU Li-xia SHI Ling GUO Shun-sheng College of Math. and Inform. Sci.
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2009, (02) : 200 - 208
  • [5] Bernstein quasi-interpolants on triangles
    Sablonniere, Paul
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2011, 56 (02): : 567 - 585
  • [6] Generalization of the left Bernstein quasi-interpolants
    Kageyama, Y
    [J]. JOURNAL OF APPROXIMATION THEORY, 1998, 94 (02) : 306 - 329
  • [7] Simultaneous approximation and quasi-interpolants
    Zhao, K
    [J]. JOURNAL OF APPROXIMATION THEORY, 1996, 85 (02) : 201 - 217
  • [8] The Genuine Bernstein–Durrmeyer Operators and Quasi-Interpolants
    Margareta Heilmann
    Martin Wagner
    [J]. Results in Mathematics, 2012, 62 : 319 - 335
  • [9] BERNSTEIN QUASI-INTERPOLANTS ON [0,1]
    SABLONNIERE, P
    [J]. MULTIVARIATE APPROXIMATION THEORY IV, 1989, 90 : 287 - 294
  • [10] Pointwise approximation by Baskakov quasi-interpolants
    Guo, SS
    Qi, QL
    Liu, LX
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) : 1011 - 1020
12345