A note on Tchakaloff's theorem

被引：47
作者：
Putinar, M
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 08期
关键词：
D O I：
10.1090/S0002-9939-97-03862-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A classical result of Tchakaloff on the existence of exact quadrature formulae up to a given degree is extended to positive measures without compact support. A criterion for the existence of Gaussian quadratures for a class of such measures is also derived from the main proof.
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页码：2409 / 2414
页数：6
相关论文
共 9 条
  • [1] [Anonymous], 1981, INTERPOLATION CUBATU
  • [2] MULTIVARIATE GAUSSIAN CUBATURE FORMULAS
    BERENS, H
    SCHMID, HJ
    XU, Y
    [J]. ARCHIV DER MATHEMATIK, 1995, 64 (01) : 26 - 32
  • [3] CURTO RE, 1994, FLAT EXTENSIONS POSI
  • [4] Mysovskikh I. P., 1975, USSR COMP MATH MATH, V15, P221
  • [5] REZNICK B, MEM AM AMTH SOC, V463
  • [6] 2-DIMENSIONAL MINIMAL CUBATURE FORMULAS AND MATRIX EQUATIONS
    SCHMID, HJ
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1995, 16 (03) : 898 - 921
  • [7] SCHMID JH, 1983, THESIS, V220, P122
  • [8] Stroud AH., 1971, Approximate Calculation of Multiple Integrals
  • [9] Tchakaloff Vladimir, 1957, B SCI MATH, V81, P123
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