On a general class of q-rational type operators

Abstract

In this study, we define a general class of rational type operators based on q-calculus and investigate the weighted approximation properties of these operators by using A-statistical convergence. We also estimate the rates of A-statistical convergence of these operators by modulus of continuity and Petree's K-functional. The operators to be introduced, include some well known q-operators so our results are true in a large spectrum of these operators.

Keywords

• q-calculus
• rational type operators
• A-statistical convergence
• weighted spaces
• linear positive operators