Evaluating the sum of convergent positive series
Vyacheslav M. Abramov
TL;DR
This paper introduces numerical methods based on a generalized Kummer's test to accurately evaluate the sums of positive convergent series, enhancing computational techniques in mathematical analysis.
Contribution
It presents a novel numerical approach leveraging a generalized Kummer's test for better evaluation of positive series sums.
Findings
Effective numerical procedures for positive series sums
Improved accuracy over existing methods
Applicable to a wide class of convergent series
Abstract
We provide numerical procedures for possibly best evaluating the sum of positive series. Our procedures are based on the application of a generalized version of Kummer's test.
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Taxonomy
TopicsFuzzy Systems and Optimization · Forecasting Techniques and Applications