Approximation properties by Schurer type q-Kantorovich–Stancu shifted knots operators

Abstract

Abstract We design the Schurer type Kantorovich–Stancu operators by using shifted knots in the quantum calculus. We obtain the convergence and other related approximation properties of these operators. We discuss the degree of convergence of our operators by applying the modulus of continuity. In addition, we give some basic direct theorems and obtain the approximation in Lipschitz spaces.

Keywords

• Kantorovich operators
• q-integers
• Stancu operators
• Modulus of continuity
• Lipschitz spaces
• Peetre’s K-functional