Abstract
We present a new probabilistic method for constructing a sequence of linear positive operators
used in uniform approximation of the continuous functions of two variables.
We study the convergence of the sequence and we evaluate the approximation order.
Finally, we present some examples which extend the results obtained in [2] to the case of two variables.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
bidimensional linear positive operator; probability space; order of approximation; modulus of continuity
Paper coordinates
O. Agratini, On the construction of approximating linear positive operators by probabilistic methods, Studia Univ. “Babes-Bolyai”, Mathematica, 38 (1993) no. 4, pp. 45-50.
About this paper
Journal
Studia Universitatis “Babes-Bolyai” Mathematica
Publisher Name
DOI
Print ISSN
1843-3855
Online ISSN
2065-9490
1843-3855
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