Abstract
The aim of the paper is to investigate a qanalogue of a general class of linear positive operators defined by Baskakov and developed by Mastroianni. Our results are the following: the moments of the operators are explicitly expressed with the help of new q-analogues of Stirling numbers, the rate of convergence is established in different function spaces by using both modulus of continuity and a certain weighted modulus of smoothness, the identification, as particular cases, of q-analogues for two classical sequences of positive approximation processes.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Cristina Radu
Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
q-integers; Stirling numbers; linear positive operator; Bohman-Korovkin theorem; moduli of smoothness; rate of convergence.
Paper coordinates
O. Agratini, C. Radu, On q-Baskakov-Mastroianni operators, Rocky Mountain Journal of Mathematics, 42 (2012) no. 3, pp. 773-790, http://doi.org/10.1216/RMJ-2012-42-3-773
(requires subscription) http://doi.org/10.1216/RMJ-2012-42-3-773
About this paper
Journal
Rocky Mountain Journal of Mathematics
Publisher Name
Rocky Mountain Mathematics Consortium
Print ISSN
0035-7596
Online ISSN
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