2015/02/25 by Mahmudov, N. I.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
paper · doi:10.48550/arxiv.1502.07237
This paper deals with approximation properties of the newly defined q-generalization of the Balázs-Szabados operators in the case q≥1. Quantitative estimates of the convergence and Voronovskaja type theorem are given. In particular, it is proved that the rate of approximation by the q-Balázs-Szabados (q>1) is of order q-n versus 1/n for the classical Balázs-Szabados (q=1) operators. The results are new even for the classical case q=1.