Error of the Newton-Cotes and Gauss-Legendre quadrature formulas
نویسندگان
چکیده
منابع مشابه
Error of the Newton-Cotes and Gauss-Legendre Quadrature Formulas
Abstract. It was shown by P. J. Davis that the Newton-Cotes quadrature formula is convergent if the integrand is an analytic function that is regular in a sufficiently large region of the complex plane containing the interval of integration. In the present paper, a bound on the error of the Newton-Cotes quadrature formula for analytic functions is derived. Also the bounds on the Legendre polyno...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1970
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1970-0275671-2