Titlebook: Numerische Integration; Tagung im Mathematis G. Hämmerlin Book 1979 Springer Basel AG 1979 Forschung.Integration.Mathematik.Numerische Inte

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Mean Convergence of the Lagrangean Interpolation of Improperly Riemann-Stieltjes Integrable FunctioIn this note we improve a criterion mainly due to S. Shohat for the mean convergence of the Lagrangean interpolation.

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Basic Mathematical Aspects of Surface Spline Interpolation,The problem of fitting a (smooth, fair-shaped) surface to arbitrarily spaced data arises in many applications in science and technology. For a survey of a variety of methods for representing and constructing such surfaces, see e. g. [2] and [5].

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Lower Bounds for the Number of Nodes in Cubature Formulae,One of the convenient properties of the Gaussian formulae is, that among all quadrature formulae of a fixed degree the Gaussian formula has the minimal number of nodes. For its multidimensional analogue, we need at least the knowledge of lower bounds for the number of nodes and informations on the strictness of the estimates.

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https://doi.org/10.1007/978-3-0348-6288-2Forschung; Integration; Mathematik; Numerische Integration