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Über eine neue Minimal-Eigenschaft der Gaussformeln. (German) Zbl 0553.41036

We prove a minimality property of Gaussian quadrature formulas concerning the distance between the smallest and the greatest node of positive quadrature formulas of given degree.

MSC:

41A55 Approximate quadratures
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References:

[1] Braß, H.: Quadraturverfahren. Göttingen: Vandenhoeck & Ruprecht 1977
[2] Engels, H., Merschen, B.A.: New minimality properties of Gaussian Quadratures. Math. Z.187, 549-558 (1984) · Zbl 0557.41024 · doi:10.1007/BF01174189
[3] Freud, G.: Orthogonale Polynome. Basel und Stuttgart: Birkhäuser Verlag 1969 · Zbl 0169.08002
[4] Merschen, B.A.: Duale Quadraturformeln und ihre Eigenschaften. Dissertation, Aachen, 1983
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