Francesc Tugores Department of Mathematics, University of Vigo, Ourense, Spain

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Laia Tugores Department of Mathematics, University of Vigo, Ourense, Spain

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This short note deals with polynomial interpolation of complex numbers verifying a Lipschitz condition, performed on consecutive points of a given sequence in the plane. We are interested in those sequences which provide a bound of the error at the first uninterpolated point, depending only on its distance to the last interpolated one.

  • [1]

    Burden, R. L., and Faires, J. D. Numerical Analysis. PWS, Boston, 2010.

  • [2]

    Carleson, L. An interpolation problem for bounded analytic functions. Am. J. Math. 80 (1958), 921930.

  • [3]

    Garnett, J. B. Bounded analytic functions, revised 1st ed. Grad. Texts Math. New York, NY: Springer, 2006.

  • [4]

    Jones, P. W. L estimates for the ¯ problem in a half-plane. Acta Math. 150 (1983), 137152.

  • [5]

    Kotochigov, A. Free interpolation in the spaces of analytic functions with derivative of order s from the Hardy space. J. Math. Sci. (N.Y.) 129, 4 (2005), 40224039.

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  • [6]

    Kronstadt, E. Interpolating sequences for functions satisfying a Lipschitz condition. Pac. J. Math. 63, 1 (1976), 169177.

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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém, Hungary)
  • János PINTZ (Rényi Institute of Mathematics, Budapest, Hungary)
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  • István BERKES (Rényi Institute of Mathematics, Budapest, Hungary)
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  • Vedran KRCADINAC (University of Zagreb, Zagreb, Croatia) 
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  • Mihály PITUK (University of Pannonia, Veszprém, Hungary)
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