Approximation by Chlodowsky variant of Szász operators involving Sheffer polynomials

Abstract

‎‎‎In this article‎, ‎we present a Chlodowsky type variation of Szász operators defined by means of the Sheffer type polynomials‎. ‎We established convergence properties and the order of‎ ‎convergence through a classical approach‎, ‎the second order modulus of continuity‎, ‎Peetre's $K$-functional‎, ‎and a new type of weighted modulus of continuity‎. ‎Furthermore‎, ‎$A$-statistical approximation of Korokin type for the operators is also shown and the rate of convergence of operators for functions having derivatives of bounded variation is also obtained‎. ‎Moreover‎, ‎some numerical and graphical examples are also given to support our results‎.