1. A Note on λ-Permutations.
- Author
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Velleman, Daniel J.
- Subjects
- *
PERMUTATIONS , *ALGEBRA , *COMBINATORICS , *MATHEMATICS , *STOCHASTIC convergence , *MATHEMATICAL functions , *MATHEMATICAL analysis - 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.
- Published
- 2006
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