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Equiconvergence of some complex interpolatory polynomials

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Summary

Walsh showed the close relation between the Lagrange interpolant in then th roots of unity and the corresponding Taylor expansion for functions belonging to a certain class of analytic functions. Recent extensions of this phenomena to Hermite interpolation and other linear processes of interpolation have been surveyed in [3, 5]. Following a recent idea of L. Yuanren [7], we show how new relations between other linear operators can be derived which exhibit Walsh equiconvergence.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    M. R. Akhlaghi & A. Sharma

  2. Department of Mathematics, University of Tel Aviv, Tel Aviv, Israel

    A. Jakimovski

Authors
  1. M. R. Akhlaghi
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  2. A. Jakimovski
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  3. A. Sharma
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Additional information

Dedicated to R. S. Varga on the occasion of his sixtieth birthday

These authors were supported by NSERC A3094

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Akhlaghi, M.R., Jakimovski, A. & Sharma, A. Equiconvergence of some complex interpolatory polynomials. Numer. Math. 57, 635–649 (1990). https://doi.org/10.1007/BF01386433

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  • DOI: https://doi.org/10.1007/BF01386433

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