IJPAM: Volume 94, No. 2 (2014)

ON SOME EQUIVALENCE RELATION $\rho$ IN
THE CLASS OF BOUNDED SEQUENCES
OF POSITIVE REAL NUMBERS

Michał Różański$^1$, Damian Słota$^2$
Marcin Szweda$^3$, Roman Wituła$^4$
$^{1,2,3,4}$Institute of Mathematics
Silesian University of Technology
Kaszubska 23, 44-100 Gliwice, POLAND


Abstract. In this paper some equivalence relation in the class of bounded sequences of positive numbers is discussed. This relation enables to understand better the permutations preserving divergence of the same rate, introduced by Johnston. It also gives the possibility to prove, in a new way, the combinatoric characterization of these permutations.

Received: May 4, 2014

AMS Subject Classification: 40A05, 05A05

Key Words and Phrases: ivergence of series at the same rate, permutation preserving divergence of the same rate

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DOI: 10.12732/ijpam.v94i2.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 2
Pages: 251 - 261

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).