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A Note on λ-Permutations.

Authors :
Velleman, Daniel J.
Source :
American Mathematical Monthly. Feb2006, Vol. 113 Issue 2, p173-178. 6p.
Publication Year :
2006

Abstract

The article explores the so-called λ-permutations shown by Steven Krantz and Jeffery McNeal in their paper "Creating more convergent series." They specified that a permutation σ of the positive integers is a λ-permutation if it has two characteristics. The first property is that for every convergent series, the summation of ak from k =1 to infinity, the summation of aσ(k) from k =1 to infinity also converges. The second property is that there is at least one divergent series which is the summation of ak from k =1 to infinity such that the summation of aσ(k) from k =1 to infinity converges.

Details

Language :
English
ISSN :
00029890
Volume :
113
Issue :
2
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
20096896
Full Text :
https://doi.org/10.2307/27641871