Polynomial wavelets on the unit circle

被引:0
|
作者
Verma, Ajeet Singh [1 ]
Mathur, Pankaj [1 ]
机构
[1] Lucknow Univ, Dept Math & Astron, Lucknow, Uttar Pradesh, India
关键词
Interpolation; Scaling functions; Wavelet; Two-scale relation; TRIGONOMETRIC WAVELETS; ROOTS; INTERPOLATION; CONVERGENCE;
D O I
10.1007/s11075-017-0293-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we have considered polynomial wavelets on unit circle. The scaling functions are considered to be the fundamental polynomials of the Lagrange interpolants on the equally spaced nodes different from the n roots of unity, which satisfy certain interpolatory conditions.
引用
收藏
页码:977 / 992
页数:16
相关论文
共 50 条
  • [1] Polynomial wavelets on the unit circle
    Ajeet Singh Verma
    Pankaj Mathur
    Numerical Algorithms, 2017, 76 : 977 - 992
  • [2] Spline Wavelets on the Unit Circle
    Chen H.-L.
    Results in Mathematics, 1997, 31 (3-4) : 322 - 336
  • [3] Maximum of a polynomial on the unit circle
    Lossers, OP
    AMERICAN MATHEMATICAL MONTHLY, 2001, 108 (02): : 177 - 177
  • [4] COMPLEX POLYNOMIAL SPLINES ON UNIT CIRCLE
    AHLBERG, JH
    NILSON, EN
    WALSH, JL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 33 (02) : 234 - &
  • [5] Polynomial integration over the unit circle
    Othmani, Yamen
    Maclean, Heather
    APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 434 - 438
  • [6] POLYNOMIAL APPROXIMATION BY PROJECTIONS ON UNIT CIRCLE
    GEDDES, KO
    MASON, JC
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1975, 12 (01) : 111 - 120
  • [7] POLYNOMIAL CHAOS CONFINED TO THE UNIT CIRCLE
    Schmid, Christine L.
    DeMars, Kyle J.
    ASTRODYNAMICS 2018, PTS I-IV, 2019, 167 : 2239 - 2256
  • [8] ORTHOGONAL POLYNOMIAL MATRICES ON UNIT CIRCLE
    DELSARTE, P
    GENIN, YV
    KAMP, YG
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (03): : 149 - 160
  • [9] Factorization of a polynomial matrix with respect to the unit circle
    Aliev, FA
    Larin, VB
    Kavranoglu, D
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1998, 23 (2B): : 319 - 323
  • [10] POLYNOMIAL INTERPOLATION IN POINTS EQUIDISTRIBUTED ON UNIT CIRCLE
    CURTISS, JH
    PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (03) : 863 - &