Gaussian interval quadrature formula

被引：0
作者：
Bojanov, BD [1 ]
Petrov, PP [1 ]
机构：
[1] Univ Sofia, Dept Math, Sofia 1164, Bulgaria
来源：
NUMERISCHE MATHEMATIK | 2001年 / 87卷 / 04期
关键词：
Mathematics Subject Classification (1991): 65D32, 65D30, 41A55;
D O I：
10.1007/PL00005426
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of a Gaussian quadrature formula for Tchebycheff systems, based on integrals over non-overlapping subintervals of arbitrary fixed lengths and the uniqueness of this formula in the case the subintervals have equal lengths.
引用
收藏
页码：625 / 643
页数：19
相关论文
共 17 条
  • [1] [Anonymous], 1955, ACAD RP ROMNE FIL IA
  • [2] BABENKO VF, 1984, STUDIES CONT PROBLEM, P3
  • [3] BARROW D, 1978, MATH COMPUT, V142, P431
  • [4] BOJANOV B, 1997, E J APPROX, V3, P71
  • [5] GENERALIZED GAUSSIAN QUADRATURE-FORMULAS
    BOJANOV, BD
    BRAESS, D
    DYN, N
    [J]. JOURNAL OF APPROXIMATION THEORY, 1986, 48 (04) : 335 - 353
  • [6] Borsuk K., 1933, Fundamenta Mathematicae, V20, P177, DOI DOI 10.4064/FM-20-1-177-190
  • [7] GAUSS KF, 1181, WERKE, V3, P1123
  • [8] GHIZZETTI A, 1975, REND MATH, V4, P1
  • [9] KARLIN S, 1976, STUDIES SPLINE FUNCT, P113
  • [10] Krein M., 1951, AM MATH SOC TRANSL 2, V12, P1
12