A Cauchy type inequality for Möbius operations

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.

Detalles Bibliográficos
Autor principal: Watanabe, Keiichi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5915524/
https://www.ncbi.nlm.nih.gov/pubmed/29720845
http://dx.doi.org/10.1186/s13660-018-1690-2
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author Watanabe, Keiichi
author_facet Watanabe, Keiichi
author_sort Watanabe, Keiichi
collection PubMed
description 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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spelling pubmed-59155242018-04-30 A Cauchy type inequality for Möbius operations Watanabe, Keiichi J Inequal Appl Research 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. Springer International Publishing 2018-04-24 2018 /pmc/articles/PMC5915524/ /pubmed/29720845 http://dx.doi.org/10.1186/s13660-018-1690-2 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Watanabe, Keiichi
A Cauchy type inequality for Möbius operations
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 möbius operations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5915524/
https://www.ncbi.nlm.nih.gov/pubmed/29720845
http://dx.doi.org/10.1186/s13660-018-1690-2
work_keys_str_mv AT watanabekeiichi acauchytypeinequalityformobiusoperations
AT watanabekeiichi cauchytypeinequalityformobiusoperations

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