Some approximation properties of Baskakov–Durrmeyer–Stancu operators

摘要

In this paper, we are dealing with a new type of Baskakov–Durrmeyer–Stancu (BDS) operators Dn(α,β)(f,x) defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic formulae for these operators. In the last section, we give better error estimations for the operators (1.4) using King type approach.