On the construction of approximating linear positive operators by probabilistic methods

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.

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About this paper

Journal

Studia Universitatis “Babes-Bolyai” Mathematica

Publisher Name
DOI
Print ISSN

1843-3855

Online ISSN

2065-9490
1843-3855

google scholar link

1993

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