Abstract
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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