A multivariate convergence theorem for positive sequences of functions
type: Item
instance of: scholarly article
title: A multivariate convergence theorem for positive sequences of functions
zbMATH Open document ID: 1408.41031
author: Dumitrŭ Popa
published in: Archiv der Mathematik
publication date: 2018-07-13T00:00:00Z
review text: 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 \([0,1]^k\).
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 6903311
zbMATH Keywords: Korovkin approximation theorem
zbMATH Keywords: multivariate Bernstein type operators
MaRDI profile type: Publication
full work available at URL: s00013-018-1163-3
OpenAlex ID: W2791667072
cites work: Korovkin-type Theorems and Approximation by Positive Linear Operators
cites work: Korovkin-type approximation theory and its applications
cites work: On approximation of continuous and of analytic functions
cites work: Q5549343
cites work: Approximation of \(^*\)weak-to-norm continuous mappings.
cites work: Extension of Bernstein polynomials to infinite dimensional case
cites work: Q5818792
Wikidata QID: Q130158896
DOI: 10.1007/S00013-018-1163-3
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description: scientific article; zbMATH DE number 6903311