Cauchy–Bunyakovsky–Schwarz type inequalities related to Möbius operations

We show some Cauchy–Bunyakovsky–Schwarz type inequalities related to the Möbius operations in complex inner product spaces which are extensions of a similar type inequality obtained recently, and we discuss some properties.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 18
Main Author Watanabe, Keiichi
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 24.06.2019
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Inequalities
Mathematics
Mathematics and Statistics
Möbius addition
Möbius gyrovector space
Möbius scalar multiplication
Schwarz inequality
Möbius gyrovector space
46C05
20N05
51M10
26D20
46T99
83A05
Möbius addition
Möbius scalar multiplication
Schwarz inequality
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Summary:We show some Cauchy–Bunyakovsky–Schwarz type inequalities related to the Möbius operations in complex inner product spaces which are extensions of a similar type inequality obtained recently, and we discuss some properties.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2132-5