Composition of integral-type operators and discrete operators involving Laguerre polynomials (Q6564725)

In this note authors provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator (in that order). The new operator so obtained is a discrete operator. They provide three examples by considering composition of Szász-Durrmeyer operator, exponential-type operator related to \(2x^{3/2}\) and the Phillips operator, respectively, with the Szász-Mirakyan operators. In all cases authors obtain positive linear, discretely defined operators which are based on Laguerre polynomials and approximate functions on the positive real half-axis.