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arXiv · 1005.3934

Approximation by q-Szasz operators

Nazim I. Mahmudov
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Abstract

his paper deals with approximating properties of the newly defined $q$-generalization of the Szász operators in the case $q>1$. 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 operators ($q>1$) is of order $q^{-n}$ versus $1/n$ for the classical Szász--Mirakjan operators.

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BibTeXRIS

Nazim I. Mahmudov. 2010-05-21. Approximation by q-Szasz operators. https://arxiv.org/abs/1005.3934

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