Sheffer polynomials and approximation operators

Abstract

In this paper we are studying the sequence of linear positive operators $(P_n^{(Q,S)})$ defined in (2). Using the Bohman-Korovkin uniform convergence criterion we are proving that the sequence $(P_n^{(Q,S)})$ converges uniformly to the identity operator.
noindent In addition we give some estimates. Finally we consider two examples $(P_n^{(A,S)})$ and $(P_n^{(na,S)})$ defined in (25), (27).