On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties

Abstract

Abstract In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.

Keywords

• q-integers
• ( p , q ) $(p, q)$ -integers
• q-Szász-Mirakyan operators
• ( p , q ) $(p, q)$ -Szász-Mirakyan operators
• weighted approximation
• Voronovskaya theorem