On the Universality of the Gaussian Quadrature Formula
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On the Universalityof the Gaussian Quadrature FormulaKnut
Several deenitions of universality of an n-point quadrature formula Q n are discussed. Universality means that Q n is able to compete with the respective optimal formula in many classes of functions. It is proved in a certain sense that the Gaus-sian quadrature formula satisses such a universality criterion. The underlying classes of functions are In each of these classes, we loose at most the ...
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