On a generalization of Bleimann, Butzer and Hahn operators based on q-integers


We propose a class of linear positive operators based on q-integers. These operators depend on a non-negative parameter and represent a generalization of the classical Bleimann, Butzer and Hahn operators. Approximation properties are presented and bounds of the error of approximation are established.


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


Linear positive operator; q-integers; Bleimann, Butzer and Hahn operator; Approximation process

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O. Agratini, G. Nowak, On a generalization of Bleimann, Butzer and Hahn operators based on q-integers, Mathematical and Computer Modelling, 53 (2011) nos. 5-6, pp. 699-706, https://doi.org/10.1016/j.mcm.2010.10.006


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Mathematical and Computer Modelling

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