Approximation by Operators for the Sheffer–Appell Polynomials

Abstract

In this paper, we introduce a generalization of the Kantrovich–Stancu-type Szasz operator asymmetry with hybrid families of special polynomials. Additionally, we construct certain positive linear operators together with the Sheffer–Appell polynomial sequences and then obtain the properties of convergence and the order of convergence, which is symmetric to these operators. For applications, we consider certain explicit examples including mixed-type special polynomials.

Keywords

• Kanotrovich–Stancu-type generalization of Szasz operators
• modulus of continuity
• Sheffer–Appell polynomials