## Abstract

This paper is concerned with a generalization in q-calculus of Stancu operators. Involving modulus of continuity and Lipschitz type maximal function, we give estimates for the rate of convergence. A probabilistic approach is presented and approximation properties are established.

## Authors

**Octavian Agratini**

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

## Keywords

q-integers; q-Bernstein polynomials; Uniform convergence; Smoothness; Lipschitz-type maximal function.

## Paper coordinates

O. Agratini, *On a q-analogue of Stancu operators*, Cent. Eur. J. Math., **8 **(2010) no. 1, pp. 191-198. DOI: 10.2478/s11533-009-0057-9

(requires subscription) https://doi.org/10.2478/s11533-009-0057-9

## About this paper

##### Journal

Central European Journal of Mathematics

##### Publisher Name

Springer

##### Print ISSN

2391-5455

##### Online ISSN

google scholar link

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