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Probabilistic approach to Schoenberg's problem in Birkhoff interpolation

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References

  1. K. Atkinson andA. Sharma, A partial characterization of poised Hermite-Birkhoff interpolation problems,SIAM J. Numer. Anal.,6 (1969), 230–235.

    Google Scholar 

  2. A. Békéssy, On the classical occupancy problems I,Magyar Tud. Akad. Mat. Kutató Int. Közl.,8 (1963), 59–71.

    Google Scholar 

  3. N. L. Johnson andS. Katz,Urn models and their applications, Wiley (New York, 1977).

    Google Scholar 

  4. G. G. Lorentz, Birkhoff interpolation and the problem of free matrices,J. Approx. Theory,6 (1972), 283–290;Notices Amer. Math. Soc., November 1969.

    Google Scholar 

  5. G. G. Lorentz Birkhoff Interpolation Problem,Report CNA-103, Center for Numerical Analysis, Univ. of Texas, Austin, July 1975.

    Google Scholar 

  6. G. G. Lorentz andK. L. Zeller, Birkhoff interpolation,SIAM J. Numer. Anal.,8 (1971), 43–48.

    Google Scholar 

  7. T. V. Narayana, Cyclic permutations of lattice paths and the Chung-Feller theorem,Skand. Aktuarietidskr. 1967, 23–30.

  8. I. J. Schoenberg, On Hermite-Birkhoff interpolation,J. Math. Anal. Appl.,16 (1966), 538–543.

    Google Scholar 

  9. F. Spitzer, A combinatorial lemma and its applications to probability theory,Trans. Amer. Math. Soc.,82 (1956), 323–339.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Texas, Austin, Texas, USA

    G. G. Lorentz

  2. Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada

    S. D. Riemenschneider

Authors
  1. G. G. Lorentz
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  2. S. D. Riemenschneider
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Additional information

To Professor G. Alexits on the occasion of his eightieth birthday

Supported, in part, by Grant MCS 77-0946 by the National Science Foundation.

Research supported by Canadian National Research Council, Grant A-7687.

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Lorentz, G.G., Riemenschneider, S.D. Probabilistic approach to Schoenberg's problem in Birkhoff interpolation. Acta Mathematica Academiae Scientiarum Hungaricae 33, 127–135 (1979). https://doi.org/10.1007/BF01903387

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  • DOI: https://doi.org/10.1007/BF01903387

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