Evaluating the sum of convergent positive series

2021/08/14 by Abramov, Vyacheslav M.
#40A05 #40A30 #65D15 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2108.06480

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.

Related

• A Short and Unified Proof of Kummer's Test
• On Kummer's test of convergence and its relation to basic comparison tests
• A generalization of Kummer's identity
• The Second Raabe's Test and Other Series Tests
• Generalization of Jamet's test for convergence of number series and its new modifications