Approximation for modification of exponential type operators connected with $$x(x+1)^2$$

Abstract

In the present paper, we discuss certain approximation properties of the modification of exponential type operators connected with $$x(x+1)^2$$ . In modification, we consider the weights of Baskakov basis. We estimate moments and establish a Voronovskaja-kind asymptotic formula in simultaneous approximation. We also estimate the difference of modified operators with the original exponential operators. In the end the convergence of a polynomial function has been shown through graphical representation.