Asymptotic properties of Urysohn type generalized sampling operators

H. Karsli

doi:10.15330/cmp.13.3.631-641

H. Karsli Bolu Abant Izzet Baysal University, Bolu 14030, Turkey https://orcid.org/0000-0002-3641-9052

https://doi.org/10.15330/cmp.13.3.631-641

Keywords: generalized sampling operator, linear and nonlinear Urysohn type generalized sampling operator, asymptotic expansion, Voronovskaya-type theorem

Published online: 2021-12-04

Abstract

The concern of this study is to continue the investigation of convergence properties of Urysohn type generalized sampling operators, which are defined by the author in [Dolomites Res. Notes Approx. 2021, 14 (2), 58-67]. In details, the paper centers around to investigation of the asymptotic properties together with some Voronovskaya-type theorems for the linear and nonlinear counterpart of Urysohn type generalized sampling operators.