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On some power means and their geometric constructions
UiT The Arctic University of Norway.
UiT The Arctic University of Norway.
UiT The Arctic University of Norway.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. UiT The Arctic University of Norway.
2018 (English)In: Mathematica Æterna, ISSN 1314-3336, E-ISSN 1314-3344, Vol. 8, no 3, p. 139-158Article in journal (Refereed) Published
Abstract [en]

The main aim of this paper is to further develop the recently initiatedresearch concerning geometric construction of some power means wherethe variables are appearing as line segments. It will be demonstratedthat the arithmetic mean, the harmonic mean and the quadratic meancan be constructed for any number of variables and that all power meanswhere the number of variables are n = 2m, m 1 2 N for all powersk = 2􀀀q and k = 2q; q 2 N can be geometrically constructed.

Place, publisher, year, edition, pages
Hilaris Ltd , 2018. Vol. 8, no 3, p. 139-158
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-69358OAI: oai:DiVA.org:ltu-69358DiVA, id: diva2:1216640
Note

Validerad;2018;Nivå 1;2018-06-12  (andbra)

Available from: 2018-06-12 Created: 2018-06-12 Last updated: 2018-06-12Bibliographically approved

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Persson, Lars-Erik

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