Acceleration of A Generalized Alternating Series

In this manuscript, a novel approach is proposed for the approximation of alternating series, where , a b R with 0 a by using a correction function.This method entails the construction of a correction function that captures the difference between the actual series and its intended approximation.By the incorporation of this correction function into the approximation process, an effort is made to enhance the accuracy and convergence of the alternating series.