%0 Journal Article
%T Approximation by q-Szasz operators
%A Nazim I. Mahmudov
%J Mathematics
%D 2010
%I arXiv
%X his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz 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 $q$-Sz\'{a}sz operators ($q>1$) is of order $q^{-n}$ versus $1/n$ for the classical Sz\'{a}sz--Mirakjan operators.
%U http://arxiv.org/abs/1005.3934v1