Asymptotic properties of Urysohn type generalized sampling operators

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.

Keywords

• generalized sampling operator
• linear and nonlinear urysohn type generalized sampling operator
• asymptotic expansion
• voronovskaya-type theorem