A new type of exponential operator

Abstract

In the present research, we investigate a novel type of exponential operator. This operator is developed using p(x) = x^(4/3) . Here, we establish the direct estimate, quantitative variants of the Voronovskaja theorem, same quantification for functions having exponential growth, and some other convergence estimates for the newly defined exponential-type operator. Later in the end, we analyze graphically the convergence of the new operator for the exponential function e^(−4x).