Lp-convergence of Lagrange interpolation on the semiaxis

被引:0
|
作者
C. Laurita
G. Mastroianni
机构
[1] Università della Basilicata,Dipartimento di Matematica
来源
Acta Mathematica Hungarica | 2008年 / 120卷
关键词
Lagrange interpolation; orthogonal polynomials; weighted approximation; 41A05; 41A10;
D O I
暂无
中图分类号
学科分类号
摘要
In order to approximate functions defined on (0, +∞), the authors consider suitable Lagrange polynomials and show their convergence in weighted Lp-spaces.
引用
收藏
页码:249 / 273
页数:24
相关论文
共 50 条
  • [1] Lp-convergence of Lagrange interpolation on the semiaxis
    Laurita, C.
    Mastroianni, G.
    [J]. ACTA MATHEMATICA HUNGARICA, 2008, 120 (03) : 249 - 273
  • [2] ON WEIGHTED LP-CONVERGENCE OF CERTAIN LAGRANGE INTERPOLATION
    SRIVASTAVA, KB
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1985, 16 (01): : 67 - 72
  • [3] VECTOR-VALUED LP-CONVERGENCE OF ORTHOGONAL SERIES AND LAGRANGE INTERPOLATION
    KONIG, H
    NIELSEN, NJ
    [J]. FORUM MATHEMATICUM, 1994, 6 (02) : 183 - 207
  • [4] ON LP-CONVERGENCE OF NONPOLYNOMIAL INTERPOLATION
    AKHLAGHI, MR
    [J]. JOURNAL OF APPROXIMATION THEORY, 1988, 55 (02) : 194 - 204
  • [5] Lp-convergence of Hermite and Hermite-Fejer interpolation
    Della Vecchia, Biancamaria
    Mastroianni, Giuseppe
    Szili, Laszlo
    Vertesi, Peter
    [J]. JOURNAL OF APPROXIMATION THEORY, 2013, 176 : 1 - 14
  • [6] AN LP-CONVERGENCE THEOREM
    CHATTERJ.SD
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (03): : 1068 - &
  • [7] Ricci curvature and Lp-convergence
    Honda, Shouhei
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2015, 705 : 85 - 154
  • [8] Lagrange–Hermite interpolation on the real semiaxis
    Giuseppe Mastroianni
    Incoronata Notarangelo
    Pietro Pastore
    [J]. Calcolo, 2016, 53 : 235 - 261
  • [9] LP-CONVERGENCE OF BIEBERBACH POLYNOMIALS
    KULIKOV, IV
    [J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1980, 15 (02): : 349 - 371
  • [10] Lagrange-Hermite interpolation on the real semiaxis
    Mastroianni, Giuseppe
    Notarangelo, Incoronata
    Pastore, Pietro
    [J]. CALCOLO, 2016, 53 (02) : 235 - 261