## Abstract

The aim of the paper is to investigate a qanalogue of a general class of linear positive operators defined by Baskakov and developed by Mastroianni. Our results are the following: the moments of the operators are explicitly expressed with the help of new q-analogues of Stirling numbers, the rate of convergence is established in different function spaces by using both modulus of continuity and a certain weighted modulus of smoothness, the identification, as particular cases, of q-analogues for two classical sequences of positive approximation processes.

## Authors

**Octavian Agratini**

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

**Cristina Radu**

Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

q-integers; Stirling numbers; linear positive operator; Bohman-Korovkin theorem; moduli of smoothness; rate of convergence.

## Paper coordinates

O. Agratini, C. Radu, *On q-Baskakov-Mastroianni operators*, Rocky Mountain Journal of Mathematics, **42** (2012) no. 3, pp. 773-790, http://doi.org/10.1216/RMJ-2012-42-3-773

(requires subscription) http://doi.org/10.1216/RMJ-2012-42-3-773

## About this paper

##### Journal

Rocky Mountain Journal of Mathematics

##### Publisher Name

Rocky Mountain Mathematics Consortium

##### Print ISSN

0035-7596

##### Online ISSN

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