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

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 multidimens...

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Published in:Semigroup forum 2021-02, Vol.102 (1), p.235-249
Main Authors: Păltănea, Radu, Smuc, Mihaela
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Language:English
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Algebra
Constraining
Mathematics
Mathematics and Statistics
Operators (mathematics)
Research Article
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description 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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subjects Algebra
Constraining
Mathematics
Mathematics and Statistics
Operators (mathematics)
Research Article
title Quantitative results for the limiting semigroup generated by the multidimensional Bernstein operators
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