Rapidly Convergent Series from Positive Term Series
Kumari Sreeja S Nair · International Journal on Recent and Innovation Trends in Computing and Communication · 2023
In this paper we shall give description about the extraction of a rapidly decaying remainder from Euler series and telescoping series. Then we apply the procedure to generalised telescoping series. The new positive term series obtained with rapidly decaying remainder will converge faster than the original series. We shall apply the procedure to generalised telescoping series also. The introduction of such remainder will give a better approximation for the series.