New discrete operators from generalized Baskakov operators

Abstract

In this paper, we propose three new operators, which are obtained from composition of generalized Baskakov-Sz\'asz operators with Sz\'asz, Lupa\c{s} and operators based on Laguerre polynomials. It is observed here that the new operators are expressed in the discrete form. We also provide their moment generating functions, which may be useful in finding several other convergence results in different settings.