Gamma Generalization Operators Involving Analytic Functions

Abstract

In the present paper, we give an operator with the help of a generalization of Boas–Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian–Totik first order modulus of smoothness and the K-functional. Furthermore, we obtain the point-wise estimations for this operator.

Keywords

• Gamma function
• Szász operators
• Boas–Buck type polynomials
• analytic functions
• rate of convergence