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Voronovskaja Theorem for Simultaneous Approximation by Bernstein Operators on a Simplex

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Abstract

We construct Kantorovich-type operators of higher order associated to the Bernstein operators for the a k-dimensional simplex and we obtain a Voronovskaja type theorem for these operators. As consequence we get a Voronoskaja type theorem for the simultaneous approximation by Bernstein operators on a simplex.

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Authors and Affiliations

  1. Department of Mathematics, Transilvania University of Braşov, 50 Maniu Iuliu, 500091, Braşov, Romania

    Radu Păltănea & Gabriel Stan

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  1. Radu Păltănea
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  2. Gabriel Stan
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Correspondence to Radu Păltănea.

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Păltănea, R., Stan, G. Voronovskaja Theorem for Simultaneous Approximation by Bernstein Operators on a Simplex. Mediterr. J. Math. 12, 889–900 (2015). https://doi.org/10.1007/s00009-014-0448-4

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  • DOI: https://doi.org/10.1007/s00009-014-0448-4

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