Abstract
In this paper, we provide a state-of-the-art survey of some recent results regarding approximation properties of exponential type operators connected with $ 2x^{3/2} $ obtained by professor Gupta and his collaborators in the last few years. The pioneer work in introduction and study of exponential type operators was due to May and Ismail, earlier, in 1976 and 1978. Gupta, generalized and deepened this study through his many works in recent years. We bring together in discussion and give all existence theorems for this specific operators and their modification and present all their approximation properties that was studied until now. In the final section, the theoretical results are analyzed by numerical examples.
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