## Abstract

We establish an asymptotic formula for a general sequence of positive linear operators of discrete type. This class represents a generalization in q-Calculus of the operators introduced by C. Mastroianni, the construciton taking its origin in a paper of Baskakov. We also mark out Voronovskaja-type formulae for two particular cases which are q-extensions of the Szasz-Mirakjan operator and the ordinary Baskakov operator.

## Authors

**Octavian Agratini**

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

**Cristina Radu**

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

## Keywords

Linear positive operator, q-integers, Voronovskaja-type formula.

## Paper coordinates

O. Agratini, C. Radu, *Asymptotic formulae for Baskakov-Mastroianni operators based on q-integers*, Supllemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 82 (2010), pag. 195-206

## About this paper

##### Journal

Supllemento ai Rendiconti del Circolo Matematico di Palermo, Serie II

##### Publisher Name

Springer

##### DOI

##### Print ISSN

##### Online ISSN

0009-725X

google scholar link

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