2019/04/25 by Acu, Ana Maria, Gonska, Heiner
#41A10 #41A25 #41A36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
paper · doi:10.48550/arxiv.1904.11135
The main object of this paper is to improve some of the known estimates for classical Kantorovich operators. A quantitative Voronovskaya-type result in terms of second moduli of continuity which improves some previous results is obtained. In order to explain non-multiplicativity of the Kantorovich operators a Chebyshev-Grüss inequality is given. Two Grüss-Voronovskaya theorems for Kantorovich operators are considered as well.