Title of article
Abelʼs summation formula in partially ordered groups
Author/Authors
Freedman، نويسنده , , Walden، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2012
Pages
8
From page
175
To page
182
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.
Keywords
Cauchy multipliable , Abel summation by parts , Partially ordered group
Journal title
Topology and its Applications
Serial Year
2012
Journal title
Topology and its Applications
Record number
1583158
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