Stancu type generalization of modified Schurer operators based on q-integers

Some approximation results by (p, q)-analogue of Bernstein–Stancu operators

“…One can give (p, q)-analogue of Durrmeyer operators (see [10] and [1]) and study their approximation properties. But for the construction of such operators, we require (p, q)-beta and (p, q)-gamma functions which are not developed yet.…”

Bernstein–Schurer–Kantorovich operators based on q-integers

“…She has studied some approximation properties of these operators and also obtained the rate of convergence of q-Bernstein-Schurer operators by using the modulus of continuity. Very recently, the Schurer modification of other positive linear operators have been considered in [2,3,26]. In the present paper, inspired by Schurer operators, we introduce the Kantorovich type Bernstein-Schurer operators based on q-integers.…”

On weighted statistical convergence based on (p,q)-integers and related approximation theorems for functions of two variables

“…Based on the development of q-calculus many authors studied some new generalizations of linear positive operators based on q-integers [2,[5][6][7]18,19,24]. First, the concept of q-analogue of Bernstein operators was introduced and investigated corresponding approximating properties by Lupaş [23].…”