منابع مشابه
A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions
A generalized N-point Birkhoff–Young quadrature of interpolatory type, with the Chebyshev weight, for numerical integration of analytic functions is considered. The nodes of such a quadrature are characterized by an orthogonality relation. Some special cases of this quadrature formula are derived. 2011 Elsevier Inc. All rights reserved.
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Our aim in this paper is to obtain an expansion for the error in the Gauss-Turán quadrature formula for approximating ∫ 1 −1 w(t)f(t) dt in the case when the function f is analytic in some region of the complex plane containing the interval [−1, 1] in its interior, and the remainder term is presented in the form of a contour integral over the confocal ellipses. In the case w(t) = 1/ √ 1 − t2 we...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1989
ISSN: 0025-5718
DOI: 10.2307/2008362