## Abstract

We present two general sequences of positive linear operators. The first is introduced by using a class of dependent random variables, and the second is a mixture between two linear operators of discrete type. Our goal is to study their statistical convergence to the approximated function. This type of convergence can replace classical results provided by Bohman-Korovkin theorem. A particular case is delivered.

## Authors

**Octavian Agratini**

Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

Positive linear operator, Bohman-Korovkin theorem, statistical convergence, Bernstein operator, Baskakov operator.

## Paper coordinates

O. Agratini, *Statistical convergence applied to Korovkin-type approximation theory*, WSEAS Transactions on Mathematics, **16** (2017), pp. 183-186.

## About this paper

##### Journal

WSEAS Transactions on Mathematics

##### Publisher Name

World Scientific and Engineering Academy and Society

##### Print ISSN

1109-2769

##### Online ISSN

2224-2880

google scholar link

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