## 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

google scholar link

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