Some Approximation Properties by Szász-P{ă}lt{ă}nea type Operators involving the Appell Polynomials of class $A^2$

Abstract

This article contributes to the new summation of Szász operators with the help of Appell polynomials of class $A^2$. We verified Bohman-Korovkin's theorem and prove the convergence results like Lipschitz-type space, Voronvaskaja-type asymptotic formula, and modulus of continuity using the given operators. Furthermore, we have shown the weighted modulus of continuity and the derivative of bounded variation.