Asymptotic relations for the products of elements of some positive sequences

Open Mathematics

Chmielowska Agata¹  Smoleń Barbara²  Różański Michał²  Wituła Roman²  Sobstyl Ireneusz³ 

[1] Department of Application of Mathematics and Methods of Artificial Intelligence, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland;Department of Mathematics, Silesian University of Technology, ul. Kaszubska 23, 44-100, Gliwice, Poland;Silesian University of Technology, Faculty of Applied Mathematics, ul. Kaszubska 23, 44-100, Gliwice, Poland;

关键词: prime numbers;    special sequences;    asymptotic relations;    limits;    41a60;    40a20;    40a25;    11a41;   

DOI  :  10.1515/math-2020-0029

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown