Refinable functions, functionals, and iterated function systems

被引:4
作者
Calabro, F. [1 ]
Esposito, A. Corbo [1 ]
Mantica, G. [2 ]
Radice, T. [3 ]
机构
[1] Univ Cassino & Lazio Meridionale, DIEI, Cassino, Italy
[2] Univ Insubria, DFM, Insubria, Italy
[3] Univ Naples Federico II, DMA, Naples, Italy
关键词
Refinable functions; Iterated Function Systems; Invariant measures; Lattice equations; ORTHOGONAL POLYNOMIALS; REFINEMENT EQUATIONS; SUBDIVISION SCHEMES; JACOBI MATRICES; INTERPOLATION; QUADRATURE; SINGULARITY; COMPUTATION; INTEGRATION; RESPECT;
D O I
10.1016/j.amc.2015.06.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Invariant measures of iterated function systems and refinable functions are mathematical tools of vast usage, that, although usually considered in different contexts, are deeply linked. We outline these links, in particular with respect to existence and regularity of these objects. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码:199 / 207
页数:9
相关论文
共 42 条
  • [1] [Anonymous], 1974, GRADUATE TEXTS MATH
  • [2] RECURRENT ITERATED FUNCTION SYSTEMS
    BARNSLEY, MF
    ELTON, JH
    HARDIN, DP
    [J]. CONSTRUCTIVE APPROXIMATION, 1989, 5 (01) : 3 - 31
  • [3] ITERATED FUNCTION SYSTEMS AND THE GLOBAL CONSTRUCTION OF FRACTALS
    BARNSLEY, MF
    DEMKO, S
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 399 (1817): : 243 - 275
  • [4] THE CALCULUS OF FRACTAL INTERPOLATION FUNCTIONS
    BARNSLEY, MF
    HARRINGTON, AN
    [J]. JOURNAL OF APPROXIMATION THEORY, 1989, 57 (01) : 14 - 34
  • [5] Baron K., 2001, AEQUATIONES MATH, V61, P1, DOI DOI 10.1007/S000100050159
  • [6] Berger M., 1997, SIAM REV, V34, P361
  • [7] Billingsley Patrick, 1995, PROBABILITY MEASURE, Vthird
  • [8] AN EFFICIENT AND RELIABLE QUADRATURE ALGORITHM FOR INTEGRATION WITH RESPECT TO BINOMIAL MEASURES
    Calabro, F.
    Esposito, A. Corbo
    [J]. BIT NUMERICAL MATHEMATICS, 2008, 48 (03) : 473 - 491
  • [9] Calabro F., 2012, CLASSIFICATION APPL, P325
  • [10] Calabrò F, 2011, REAL ANAL EXCH, V37, P61