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On semicardinal quadrature formulae. (English) Zbl 0284.65011

MSC:
65D30 Numerical integration
41A15 Spline approximation
41A55 Approximate quadratures
41A05 Interpolation in approximation theory
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[1] I. J. Schoenberg, Cardinal interpolation and spline functions, J. Approximation Theory 2 (1969), 167 – 206. · Zbl 0202.34803
[2] I. J. Schoenberg, Cardinal interpolation and spline functions, J. Approximation Theory 2 (1969), 167 – 206. · Zbl 0202.34803
[3] I. J. Schoenberg, Cardinal interpolation and spline functions. VI. Semi-cardinal interpolation and quadrature formulae, J. Analyse Math. 27 (1974), 159 – 204. , https://doi.org/10.1007/BF02788646 I. J. Schoenberg, Cardinal interpolation and spline functions. VII. The behavior of cardinal spline interpolants as their degree tends to infinity, J. Analyse Math. 27 (1974), 205 – 229. , https://doi.org/10.1007/BF02788647 Carl de Boor and I. J. Schoenberg, Cardinal interpolation and spline functions. VIII. The Budan-Fourier theorem for splines and applications, Spline functions (Proc. Internat. Sympos., Karlsruhe, 1975) Springer, Berlin, 1976, pp. 1 – 79. Lecture Notes in Math., Vol. 501.
[4] I. J. Schoenberg, Cardinal spline interpolation, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1973. Conference Board of the Mathematical Sciences Regional Conference Series in Applied Mathematics, No. 12. · Zbl 0264.41003
[5] I. J. Schoenberg and S. D. Silliman, On semi-cardinal quadrature formulae, Approximation theory (Proc. Internat. Sympos., Univ. Texas, Austin, Tex., 1973) Academic Press, New York, 1973, pp. 461 – 467. · Zbl 0319.41009
[6] S. D. Silliman, ”On complete semi-cardinal quadrature formulae.” (To appear.) · Zbl 0319.41009
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