## Abstract

Starting from a general sequence of linear and positive operators of discrete type, we associate its *r*-th order generalization. This construction involves high order derivatives of a signal and it looses the positivity property. Considering that the initial approximation process is A-statistically uniform convergent, we prove that the property is inherited by the new sequence. Also, our result includes information about the uniform convergence. Two applications in q-Calculus are presented. We study q-analogues both of Meyer-König and Zeller operators and Stancu operators.

## Authors

**Octavian Agratini**

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

## Keywords

positive approximation process; A-statistical uniform convergence; matrix summability method

## Paper coordinates

O. Agratini, *Statistical convergence of a non-positive approximation process*, Chaos, Solitons & Fractals, **44** (2011) no. 11, pp. 977-981, https://doi.org/10.1016/j.chaos.2011.08.003

requires subscription: https://doi.org/10.1016/j.chaos.2011.08.003

## About this paper

##### Journal

Chaos, Solitons & Fractals

##### Publisher Name

Elsevier

##### DOI

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