On geometric construction of some power means

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https://hdl.handle.net/10037/15249
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Dato
2018-11-27
Type
Journal article
Peer reviewed

Forfatter
Høibakk, Ralph; Lukkassen, Dag; Persson, Lars Erik; Meidell, Annette
Sammendrag
In the homogenization theory, there are many examples where the effective conductivities of composite structures are power means of the local conductivities. The main aim of this paper is to initiate research concerning geometric construction of some power means of three or more variables. We contribute by giving methods for the geometric construction of the harmonic mean $ P_{-1} $ and the arithmetic mean $P_{1}$ of three variables $a,b$ and $c$
Beskrivelse
Submitted manuscript version. Published version available at: http://www.nonlinearstudies.com/index.php/nonlinear/article/view/1811
Forlag
Cambridge Scientific
Sitering
Høibakk, R,; Lukkassen D.; Persson, L.E.; Meidell, A. (2018) On geometric construction of some power means. Nonlinear Studies, 25(4), 921-932. Hentet fra http://www.nonlinearstudies.com/index.php/nonlinear/article/view/1811
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