Technical Report 2006-007

Gaussian Quadratures with Respect to Discrete Measures

Stefan Engblom

February 2006

In analogy to the subject of Gaussian integration formulas we present an overview of some Gaussian summation formulas. The derivation involve polynomials that are orthogonal under discrete inner products and the resulting formulas are useful as a numerical device for summing fairly general series. Several illuminating examples are provided in order to present various aspects of this not very well-known technique.

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