Asymptotic relations for the products of elements of some positive sequences

Chmielowska Agata; Różański Michał; Smoleń Barbara; Sobstyl Ireneusz; Wituła Roman

doi:10.1515/math-2020-0029

Open Mathematics (Aug 2020)

Asymptotic relations for the products of elements of some positive sequences

Chmielowska Agata,
Różański Michał,
Smoleń Barbara,
Sobstyl Ireneusz,
Wituła Roman

Affiliations

Chmielowska Agata: Department of Application of Mathematics and Methods of Artificial Intelligence, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland
Różański Michał: Department of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland
Smoleń Barbara: Department of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland
Sobstyl Ireneusz: Silesian University of Technology, Faculty of Applied Mathematics, ul. Kaszubska 23, 44-100, Gliwice, Poland
Wituła Roman: Department of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland

DOI: https://doi.org/10.1515/math-2020-0029
Journal volume & issue: Vol. 18, no. 1
pp. 886 – 893

Abstract

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The aim of this study was to present a simple method for finding the asymptotic relations for products of elements of some positive real sequences. The main reason to carry out this study was the result obtained by Alzer and Sandor concerning an estimation of a sequence of the product of the first k primes.

Published in Open Mathematics

ISSN: 2391-5455 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/math/html

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