The Composition of Some Approximation Operators of Exponential Type

Abstract

Recently, Gupta, Lopez-Pellicer, and Srivastava studied the convergence of approximation operators of exponential type connected to the function x^(3/2). In the present article, we consider a new operator obtained by the composition of two exponential type integral operators connected to x^2 and x^3. The new operator is based on the modified Bessel function of the second kind. We obtain the moments, present an estimate for the rate of convergence and establish the complete asymptotic expansion of the new operator.