Abstract
This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case . Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators ( ) is of order versus 1/n for the classical Szász-Mirakjan operators.
Citation
N. I. Mahmudov. "Approximation by the -Szász-Mirakjan Operators." Abstr. Appl. Anal. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/754217
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