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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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Cao, XH
Guo, MZ
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机构:Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Guo, MZ
Meng, B
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机构:Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China