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.
机构:
Stellenbosch Univ, Dept Math Sci, P Bag X1, ZA-7602 Stellenbosch, South AfricaStellenbosch Univ, Dept Math Sci, P Bag X1, ZA-7602 Stellenbosch, South Africa