Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions

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Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions

MSC: 41A55 41A60 65B05 65B10 65B15 65D30 Keywords: Biorthogonal polynomials Numerical integration Symmetric weight functions Acceleration of convergence Levin transformation Rational approximation a b s t r a c t In this work, we derive a family of symmetric numerical quadrature formulas for finite-range integrals I[f ] =  1 −1 w(x)f (x) dx, where w(x) is a symmetric weight function. In partic...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2014

ISSN: 0377-0427

DOI: 10.1016/j.cam.2014.05.013