## Abstract

The paper deals with a sequence of linear positive operators introduced via q-Calculus. We give a generalization in Kantorovich sense of its involving qR-integrals. Both for discrete operators and for integral operators we study the error of approximation for bounded functions and for functions having a polynomial growth. The main tools consist of the K-functional in Peetre sense and different moduli of smoothness.

## 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; Moduli of smoothness; K-functional; Weighted space

## Paper coordinates

O. Agratini, C. Radu, *An extension based on qR-integral for a sequence of operators*, Applied Mathematics and Computation, **218** (2011) no. 1, pp. 140-147, https://doi.org/10.1016/j.amc.2011.05.073

(requires subscription) https://doi.org/10.1016/j.amc.2011.05.073

## About this paper

##### Journal

Applied Mathematics and Computation

##### Publisher Name

Elsevier

##### DOI

##### Print ISSN

0096-3003

##### Online ISSN

google scholar link

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