| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659947 | Topology and its Applications | 2012 | 8 Pages |
Abstract
Abelʼs partial summation formula has been used classically to obtain convergence tests for certain types of series of real or complex numbers. We generalize the formula and convergence tests to the setting of directed partially ordered topological groups, where the notion of a convergent series is replaced by that of a Cauchy multipliable sequence.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
