The integral type exponential operators connected with \(x^3\) were introduced four and half decades ago, but no significant work has been done for many years due to complicated analysis involved to handle such operators. In the recent years, some researchers attracted towards these important operators and they obtained interesting approximation properties. In the present article we discuss operators based on these operators. If we consider the composition of such operators with some discrete operators irrespective of exponential or non-exponential, we capture some new discrete operators. Also, the new operators are based on the modified Bessel’s K functions of second kind. Here we find moments using moment generating function and estimate some convergence results.
