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General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation

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In the present note we prove general asymptotic and Voronovskaya theorems for simultaneous approximation. These generalize the Voronovskaya type theorems obtained recently by Floater for the Bernstein operators, and previously by Heilmann and Müller for the Durrmeyer operators.

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Authors and Affiliations

  1. Department of Mathematics, University of Duisburg-Essen, D-47048, Duisburg, Germany

    Heiner Gonska

  2. Department of Mathematics, Transilvania University of Braşov, RO-500036, Braşov, Romania

    Radu Păltănea

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  1. Heiner Gonska
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  2. Radu Păltănea
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Correspondence to Heiner Gonska.

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Gonska, H., Păltănea, R. General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation. Mediterr. J. Math. 7, 37–49 (2010). https://doi.org/10.1007/s00009-010-0025-4

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  • DOI: https://doi.org/10.1007/s00009-010-0025-4

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