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On some power means and their geometric constructions
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- Høibakk, Ralph (author)
- UiT The Arctic University of Norway
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- Lukkassen, Dag (author)
- UiT The Arctic University of Norway
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- Meidell, Annette (author)
- UiT The Arctic University of Norway
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- Hilaris Ltd, 2018
- 2018
- English.
- In: Mathematica Æterna. - : Hilaris Ltd. - 1314-3336 .- 1314-3344. ; 8:3, s. 139-158
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
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- ref (subject category)
- art (subject category)
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- Luleå University of Technology
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