Geodesic
Optimal quadrature formulae
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 6, pp. 1035-1055

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In this survey we consider results and open problems related to two major ideas in the theory of optimal quadrature formulae: the ideas of Gauss and Kolmogorov. 
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     author = {B. D. Boyanov},
     title = {Optimal quadrature formulae},
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B. D. Boyanov. Optimal quadrature formulae. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 60 (2005) no. 6, pp. 1035-1055. http://geodesic.mathdoc.fr/item/RM_2005_60_6_a3/