Approximation by q-Szasz operators
Functional Analysis
2010-05-24 v1
Abstract
his paper deals with approximating properties of the newly defined -generalization of the Sz\'{a}sz 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 -Sz\'{a}sz operators () is of order versus for the classical Sz\'{a}sz--Mirakjan operators.
Cite
@article{arxiv.1005.3934,
title = {Approximation by q-Szasz operators},
author = {Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:1005.3934},
year = {2010}
}