Evaluating the sum of convergent positive series-Reference-Cited by-同舟云学术

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Evaluating the sum of convergent positive series

Published:2022 Issue:125 Volume:111 Page:41-53
ISSN:0350-1302
Container-title:Publications de l'Institut Math?matique (Belgrade)
language:en
Short-container-title:Publ Inst Math (Belgr)

Author:

Abramov Vyachslav¹

Affiliation:

1. nema

Abstract

We provide numerical procedures for possibly best evaluating the sum of positive series under quite general setting. Our procedures are based on the application of a generalized version of Kummer's test.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference26 articles.

1. V. M. Abramov, Extension of the Bertrand-De Morgan test and its application, Amer. Math. Monthly, 127 (2020), 444-448.

2. D. H. Bailey, The SIAM 100-Digit Challenge: A study in high-accuracy numerical computing, by Folkmar Bornemann, Dirk Laurie, Stan Wagon, and Jörg Waldvogel, SIAM, Philadelphia, PA, 2004. (Book review.) Bull. Amer. Math. Soc., n.s., 42 (2005), 545-548.

3. R. P. Boas, Jr., Partial sums of infinite series, and how they grow. Amer. Math. Monthly, 84 (1977), 237-258.

4. F. Bornemann, D. Laurie, S. Wagon, J. Waldvogel. The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing, SIAM, Philadelphia, 2004.

5. J. M. Borwein, The SIAM 100-Digit challenge: a study in high-accuracy numerical computing, Math. Intelligen., 27 (2005), 40-48.

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