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.

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Bibliographic Details
Published in:Journal of inequalities and applications 2018, Vol.2018 (1), p.1-9, Article 97
Main Author: Watanabe, Keiichi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Cauchy inequality
Convergence of series
Mathematics
Mathematics and Statistics
Möbius addition
Möbius scalar multiplication
Real numbers
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Description
Summary: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.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-018-1690-2