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Cardinal spline interpolation and the exponential Euler splines

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Functional Analysis and its Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 399))

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References

  1. Foata, D. and Schützenberger, M.-P., Téorie géometrique des polynômes Eulérians, Lecture Notes in Math., No. 138, Springer, Berlin, 1970

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  2. Richards,F.B. and Schoenberg, I.J., Notes on spline functions IV. A cardinal spline analogue of the theorem of the brothers Markov. MRC T.S. Report # 1330, April 1973, Madison, Wisconsin. To appear in Israel J. of Math.

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  3. Schaeffer, A.C. and Duffin, R.J., On some inequalities of S. Bernstein and W.Markoff for derivatives of polynomials. Bull. Amer.Math.Soc., 44(1938), 289–297.

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  4. Schoenberg, I.J., Cardinal interpolation and spline functions IV. The exponential Euler splines. in ‘Linear Operators and Approximation', edited by P.L.Butzer, J.-P.Kahane and B.Sz.-Nagy, Proc.of the Oberwolfach Conf. Aug. 14–22,1971, ISNM, Vol. 20 (1972), 382–404.

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  5. _____, Cardinal spline interpolation. CBMS Regional Conference Monograph No.12, 125 pages, SIAM, Philadelphia 1973, To appear.

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  6. Schoenberg,I.J., Notes on spline functions III. On the convergence of the interpolating cardinal splines as their degree tends to infinity. MRC T.S.Report # 1326, April 1973, Madison, Wisconsin, To appear in Israel J. of Math.

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  7. Silliman, S.D., The numerical evaluation by splines of the Fourier transform and the Laplace transform. Ph.D. Thesis, University of Wisconsin-Madison, June 1971, MRC T.S.Report # 1183, January 1972, Madison, Wisconsin

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Authors
  1. I. J. Schoenberg
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H. G. Garnir K. R. Unni J. H. Williamson

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© 1974 Springer-Verlag Berlin · Heidelberg

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Schoenberg, I.J. (1974). Cardinal spline interpolation and the exponential Euler splines. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063597

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  • DOI: https://doi.org/10.1007/BFb0063597

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06869-3

  • Online ISBN: 978-3-540-37827-3

  • eBook Packages: Springer Book Archive

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