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On the norms of interpolating operators

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Abstract

In this paper we estimate the norms of linear interpolating operators from the space of continuous functions onto polynomials. The estimate eliminates the gap between classical results of Faber and Bernstein. It also provides an affirmative answer to a question recently raised by J. Szabados.

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References

  1. S. Bernstein,Sur une modification de la formula d’interpolation de Lagrange, Zap. Hark. Mat. Tov.5 (1932), 49–57.

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  2. K. Hoffman,Banach Spaces of Analytic Functions, Prentice-Hall, 1962.

  3. I. P. Natanson,Constructive Theory of Approximation, Moscow 1949.

  4. S. Sidon,On Fourier coefficients, J. London Math. Soc.13 (1938), 181–183.

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  5. J. Szabados,On the norms of certain interpolating operators, Anal. Math., to appear.

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Authors and Affiliations

  1. Department of Mathematics, University of South Florida, 33620, Tampa, FL, USA

    Boris Shekhtman

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  1. Boris Shekhtman
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Shekhtman, B. On the norms of interpolating operators. Israel J. Math. 64, 39–48 (1988). https://doi.org/10.1007/BF02767368

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  • DOI: https://doi.org/10.1007/BF02767368

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