Interpolating scaling functions, Bernstein polynomials and non-stationary wavelets

被引:0
|
作者
LemarieRieusset, PG
机构
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The theory of convergence for (non-stationary) scaling functions and the approximation of interpolating scaling filters by means of Bernstein polynomials, allow us to construct a non-stationary interpolating scaling function with interesting approximation properties.
引用
收藏
页码:91 / 188
页数:98
相关论文
共 50 条
  • [41] Modeling non-stationary extreme waves using a point process approach and wavelets
    P. Galiatsatou
    P. Prinos
    Stochastic Environmental Research and Risk Assessment, 2011, 25 : 165 - 183
  • [42] Non-Stationary Fractal Functions on the Sierpiński Gasket
    Kumar, Anuj
    Boulaaras, Salah
    Verma, Shubham Kumar
    Biomy, Mohamed
    MATHEMATICS, 2024, 12 (22)
  • [43] A class of non-stationary covariance functions with compact support
    Min Liang
    Denis Marcotte
    Stochastic Environmental Research and Risk Assessment, 2016, 30 : 973 - 987
  • [44] GREENS FUNCTIONS IN NON-STATIONARY THEORY OF ELASTIC SHELLS
    DESILVA, CN
    WHITMAN, AB
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1967, 47 (06): : 369 - &
  • [45] Shape Preservation of Ternary 4-point Non-Stationary Interpolating Subdivision Scheme
    Bibi, Khalida
    Akram, Ghazala
    Rehan, Kashif
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (01): : 77 - 97
  • [46] A Consideration on Scaling Functions of Wavelets
    Sato, Hajime
    2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3, 2008, : 1140 - 1145
  • [47] Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
    Lee, Yeon Ju
    Yoon, Jungho
    APPLIED NUMERICAL MATHEMATICS, 2010, 60 (1-2) : 130 - 141
  • [48] Modeling the Non-Markovian, Non-stationary Scaling Dynamics of Financial Markets
    Baldovin, Fulvio
    Bovina, Dario
    Camana, Francesco
    Stella, Attilio L.
    ECONOPHYSICS OF ORDER-DRIVEN MARKETS, 2011, : 239 - 252
  • [49] Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
    Jeong, Byeongseon
    Yoon, Jungho
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 349 : 452 - 469
  • [50] Asymptotic optimality in a class of estimating functions for stationary and non-stationary time series
    Hwang, S. Y.
    INTERNATIONAL WORK-CONFERENCE ON TIME SERIES (ITISE 2014), 2014, : 272 - 272