Convergence of Gaussian quadrature formulas on infinite intervals
نویسندگان
چکیده
منابع مشابه
Anti-Gaussian quadrature formulas
An anti-Gaussian quadrature formula is an (n+ 1)-point formula of degree 2n− 1 which integrates polynomials of degree up to 2n+ 1 with an error equal in magnitude but of opposite sign to that of the n-point Gaussian formula. Its intended application is to estimate the error incurred in Gaussian integration by halving the difference between the results obtained from the two formulas. We show tha...
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Numbers,' in Bull. Nat. Res. Council (Washington, D. C.), Vol. 5, Part 3, No. 28, pp. 21-25 (1923). 8 This result is due to the writer; cf. E. Landau, Vorlesungen uber Zahlentheorie, Bd. 3, Verlag von S. Hirzel Leipzig (1927), pp. 327, 328. 9 Berlin Abhandlungen, Mathematisch-Physikalische Klasse, 61-65 (1857). 10 J. fur die Math., 128, 45-68 (1905). 11 Lehmer, D. H. and Emma, Bull. Amer. Math....
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2003
ISSN: 0021-9045
DOI: 10.1016/s0021-9045(03)00090-x