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:
Department of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, MoroccoDepartment of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, Morocco
M.AMOUCH
H.ZGUITTI
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Department of Mathematics, Faculty of Science of Rabat, B. O. 1014 Rabat, MoroccoDepartment of Mathematics, Faculty of Science Semlalia, B.O. 2390 Marrakesh, Morocco