Kantorovich type operators associated with Jain-Markov operators

Abstract

This note focuses on a sequence of linear positive operators of integral
type in the sense of Kantorovich. The construction is based on a class of discrete operators representing a new variant of Jain operators. By our statements, we prove that the integral family turns out to be useful in approximating continuous signals defined on unbounded intervals. The main tools in obtaining these results are moduli of smoothness of  first and second order, K-functional and Bohman-Korovkin criterion.