Completeness of Ordered Fields and a Trio of Classical Series Tests
This article explores the fate of the infinite series tests of Dirichlet, Dedekind, and Abel in the context of an arbitrary ordered field. It is shown that each of these three tests characterizes the Dedekind completeness of an Archimedean ordered field; specifically, none of the three is valid in a...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , |
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| Μορφή: | Artigo |
| Γλώσσα: | Inglês |
| Έκδοση: |
Wiley
2016-01-01
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| Σειρά: | Abstract and Applied Analysis |
| Διαθέσιμο Online: | http://dx.doi.org/10.1155/2016/6023273 |
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