| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4617179 | Journal of Mathematical Analysis and Applications | 2012 | 8 Pages |
Abstract
The notation ∑k∣nf(k)∑k∣nf(k) means the finite sum of all numbers f(k)f(k) as kk ranges over the integers that divide nn including 11 and nn. The purpose of this paper is to define a theory of summability suggested by this type of sum and an associated theory of convergence. This paper studies five sequence spaces that are related to the arithmetical summability thus defined.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
William H. Ruckle,