Approximation by the -Szász-Mirakjan Operators

N. I. Mahmudov

Abstract and Applied Analysis, 2012, vol. 2012, 1-16

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:754217

DOI: 10.1155/2012/754217

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