@TechReport{ it:2006-007, author = {Stefan Engblom}, title = {Gaussian Quadratures with Respect to Discrete Measures}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2006}, number = {2006-007}, month = feb, abstract = {In analogy to the subject of Gaussian integration formulas we present an overview of some Gaussian \emph{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.} }