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Optimal quadrature formulas with respect to the error. (English) Zbl 1120.41001
Summary: Using the connection between the optimal approximation of linear operators and spline interpolation, established by I. J. Schoenberg [Nederl. Akad. Wet., Proc., Ser. A 67, 155–163 (1964; Zbl 0146.08501)], we study the optimality problem with respect to the error, for some quadrature formulas. Concrete examples are given.
MSC:
41A05 Interpolation in approximation theory
65D05 Numerical interpolation
65D32 Numerical quadrature and cubature formulas
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