Development of the Overholt transformation for accelerating the convergence of sequences

In this paper we demonstrate the development of the Overholt transformation. We consider the use of the Overholt-type transformations to accelerate the convergence of scalar sequence and their effectiveness for approximating the solution of a given power series is illustrated. In process we shall demonstrate the convergence of each of the methods considered. The approximate solution of the improved Overholt transformation and the modified Overholt transformation are found to be substantially more accurate than the classical Overholt transformation and the Wimp transformation.