ON THE DEGREE OF APPROXIMATION BY WAVELET EXPANSIONS

被引：18
|
作者：
Sun Xiehua (China Institute of Metrology
机构：
来源：
Approximation Theory and Its Applications | 1998年 / 01期
关键词：
ON THE DEGREE OF APPROXIMATION BY WAVELET EXPANSIONS;
D O I：
暂无
中图分类号：
O241 [数值分析];
学科分类号：
摘要：
In this paper we estimate the degree of approximation of wavelet expansions. Our result shows that the degree has the exponential decay for function f(x) ∈ L2 continuous in a finite interval (a,b) which is much superior to those of approximation by polynomial operators and by expansions of classical orthogonal series.
引用
收藏
页码：81 / 90
页数：10
相关论文
共 50 条
  • [31] Stochastic expansions in an overcomplete wavelet dictionary
    Abramovich, F
    Sapatinas, T
    Silverman, BW
    PROBABILITY THEORY AND RELATED FIELDS, 2000, 117 (01) : 133 - 144
  • [32] Convergence of Wavelet Expansions in the Orlicz Space
    Chang Mei TAN Department of MathematicsChongqing University of Arts and SciencesChongqing PRChina
    数学研究与评论, 2011, 31 (03) : 528 - 534
  • [33] Fast computation of adaptive wavelet expansions
    A. Barinka
    W. Dahmen
    R. Schneider
    Numerische Mathematik, 2007, 105 : 549 - 589
  • [34] Fast computation of adaptive wavelet expansions
    Barinka, A.
    Dahmen, W.
    Schneider, R.
    NUMERISCHE MATHEMATIK, 2007, 105 (04) : 549 - 589
  • [35] An algorithm for removing artifacts in wavelet expansions
    Shen, XP
    MSV'04 & AMCS'04, PROCEEDINGS, 2004, : 444 - 450
  • [36] Unconditional Convergence for Wavelet Frame Expansions
    Lebedeva E.A.
    Journal of Mathematical Sciences, 2018, 234 (3) : 357 - 361
  • [37] Wavelet expansions and asymptotic behavior of distributions
    Saneva, Katerina
    Vindas, Jasson
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 370 (02) : 543 - 554
  • [38] Stochastic expansions in an overcomplete wavelet dictionary
    F. Abramovich
    T. Sapatinas
    B.W. Silverman
    Probability Theory and Related Fields, 2000, 117 : 133 - 144
  • [39] Hyperbolic Wavelet Approximation
    R. A. DeVore
    S. V. Konyagin
    V. N. Temlyakov
    Constructive Approximation, 1998, 14 : 1 - 26
  • [40] Wavelet packet approximation
    Khanna, Nikhil
    Kumar, Varinder
    Kaushik, S. K.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 27 (09) : 698 - 714
12345