Construction of new operators by composition of integral-type operators and discrete operators (Q6571341)

By composition of certain integral type operators with certain discrete operator some new positive linear operators are constructed. Namely, it is constructed the following compositions: of Bernstein-Durrmeier operator and Bernstein operator; of Szász-Mirakyan-Durrmejer operator and Jain-Pethe operator; of Baskakov-Szász operator and Szász-Mirakyan operator; of Müller Gamma operator and Szász-Mirakyan operator. New operators are expressed in discrete form and the coefficients of these forms are represented. Moreover, the moment generating functions of the constructed operators are established. Some basic convergence results for the constructed composition operators including a Voronovskaya-type formula are given.