Convergence Acceleration of Gauss–Chebyshev Quadrature Formulae
The aim of this paper is to accelerate, via extrapolation methods, the convergence of the sequences generated by the Gauss–Chebyshev quadrature formula applied to functions holomorphic in ]−1,1[ and possessing, in the neighborhood of 1 or −1, an asymptotic expansion with log (1±x)(1±x)α, (1±x)α, α>−1, as elementary elements.
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