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A Note on λ-Permutations.
- 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 a<subscript>k</subscript> from k =1 to infinity, the summation of a<subscript>σ(k)</subscript> from k =1 to infinity also converges. The second property is that there is at least one divergent series which is the summation of a<subscript>k</subscript> from k =1 to infinity such that the summation of a<subscript>σ(k)</subscript> from k =1 to infinity converges.
Details
- Language :
- English
- ISSN :
- 00029890
- Volume :
- 113
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- 20096896
- Full Text :
- https://doi.org/10.2307/27641871