Szász-Durrmeyer Operators Based on Confluent Appell Polynomials of Class A(2)

This paper studies a Durrmeyer-type family of Szász operators generated by confluent Appell polynomials of class A(2). We investigate their approximation behavior on the semi-infinite interval in a weighted setting, obtain convergence estimates by means of the modulus of continuity and Peetre’s K-functional, and establish a Voronovskaya-type asymptotic formula. Numerical graphs are also presented for the approximation of g.