A multivariate convergence theorem for positive sequences of functions (Q1650749)
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scientific article; zbMATH DE number 6903311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A multivariate convergence theorem for positive sequences of functions |
scientific article; zbMATH DE number 6903311 |
Statements
A multivariate convergence theorem for positive sequences of functions (English)
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13 July 2018
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The main purpose of this paper is to prove a multivariate variant of a theorem of \textit{P. L. Butzer} and \textit{H. Berens} [Semi-groups of operators and approximation. Berlin: Springer (1967; Zbl 0164.43702)] and to present some applications which entail the approximation and reconstruction of continuous functions defined on a subset \(A_k\) of \([0,1]^k\).
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Korovkin approximation theorem
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multivariate Bernstein type operators
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0.9057686
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0.9042106
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0.9009695
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0.90091217
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