An extension based on qR-integral for a sequence of operators


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.


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

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


Linear positive operator; q-Integers; Moduli of smoothness; K-functional; Weighted space

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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,


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