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Quantitative results for the limiting semigroup generated by the multidimensional Bernstein operators

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Abstract

A quantitative estimate for the Trotter’s approximation theorem for the limiting semigroup of operators generated by the multidimensional Bernstein operators on a simplex is obtained. For this, an essential step consists in an explicit representation of the derivatives of higher order of multidimensional Bernstein operators.

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Authors and Affiliations

  1. Faculty of Mahematics and Computer Science, Transilvania University of Braşov, Braşov, Romania

    Radu Păltănea & Mihaela Smuc

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  1. Radu Păltănea
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  2. Mihaela Smuc
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Correspondence to Radu Păltănea.

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Communicated by Markus Haase.

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Păltănea, R., Smuc, M. Quantitative results for the limiting semigroup generated by the multidimensional Bernstein operators. Semigroup Forum 102, 235–249 (2021). https://doi.org/10.1007/s00233-020-10146-x

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  • DOI: https://doi.org/10.1007/s00233-020-10146-x

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