A Cauchy type inequality for Möbius operations
Abstract In this article, we show two fundamental features of the restriction of Möbius operations to the real numbers, that is, a Cauchy type inequality and a criterion for convergence of series.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1690-2 |
| _version_ | 1818307644277915648 |
|---|---|
| author | Keiichi Watanabe |
| author_facet | Keiichi Watanabe |
| author_sort | Keiichi Watanabe |
| collection | DOAJ |
| description | Abstract In this article, we show two fundamental features of the restriction of Möbius operations to the real numbers, that is, a Cauchy type inequality and a criterion for convergence of series. |
| first_indexed | 2024-12-13T07:01:39Z |
| format | Article |
| id | doaj.art-445b3227d3d94d6d92761b2fe2e87dad |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-13T07:01:39Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-445b3227d3d94d6d92761b2fe2e87dad2022-12-21T23:55:55ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-04-01201811910.1186/s13660-018-1690-2A Cauchy type inequality for Möbius operationsKeiichi Watanabe0Department of Mathematics, Faculty of Science, Niigata UniversityAbstract In this article, we show two fundamental features of the restriction of Möbius operations to the real numbers, that is, a Cauchy type inequality and a criterion for convergence of series.http://link.springer.com/article/10.1186/s13660-018-1690-2Cauchy inequalityConvergence of seriesMöbius additionMöbius scalar multiplication |
| spellingShingle | Keiichi Watanabe A Cauchy type inequality for Möbius operations Journal of Inequalities and Applications Cauchy inequality Convergence of series Möbius addition Möbius scalar multiplication |
| title | A Cauchy type inequality for Möbius operations |
| title_full | A Cauchy type inequality for Möbius operations |
| title_fullStr | A Cauchy type inequality for Möbius operations |
| title_full_unstemmed | A Cauchy type inequality for Möbius operations |
| title_short | A Cauchy type inequality for Möbius operations |
| title_sort | cauchy type inequality for mobius operations |
| topic | Cauchy inequality Convergence of series Möbius addition Möbius scalar multiplication |
| url | http://link.springer.com/article/10.1186/s13660-018-1690-2 |
| work_keys_str_mv | AT keiichiwatanabe acauchytypeinequalityformobiusoperations AT keiichiwatanabe cauchytypeinequalityformobiusoperations |