Displaying similar documents to “Optimal quadrature formulas in the sense of Nikolski.”

Summation of slowly convergent series

Walter Gautschi (1994)

Banach Center Publications

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Among the applications of orthogonal polynomials described briefly on my previous visit to this Center [9, §3.2] were slowly convergent series whose terms could be represented in terms of the Laplace transform at integer arguments. We proposed to sum such series by means of Gaussian quadrature rules applied to suitable integrals involving weight functions of Einstein and Fermi type (cf. [13]). In the meantime it transpired that the technique is applicable to a large class of numerical...