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Geometric Construction of Some Lehmer Means

1
Department of Computer Science and Computational Engineering, Faculty of Engineering Science and Technology, UiT the Arctic University of Norway, Lodve Langesgate 2, N8505 Narvik, Norway
2
NORUT Narvik, Rombaksveien 47, N8517 Narvik, Norway
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Authors to whom correspondence should be addressed.
Mathematics 2018, 6(11), 251; https://doi.org/10.3390/math6110251
Received: 2 October 2018 / Revised: 7 November 2018 / Accepted: 8 November 2018 / Published: 14 November 2018
The main aim of this paper is to contribute to the recently initiated research concerning geometric constructions of means, where the variables are appearing as line segments. The present study shows that all Lehmer means of two variables for integer power k and for k = m 2 , where m is an integer, can be geometrically constructed, that Lehmer means for power k = 0 , 1 and 2 can be geometrically constructed for any number of variables and that Lehmer means for power k = 1 / 2 and 1 can be geometrically constructed, where the number of variables is n = 2 m and m is a positive integer. View Full-Text
Keywords: means; Lehmer means; geometric construction; crossed ladders diagram means; Lehmer means; geometric construction; crossed ladders diagram
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MDPI and ACS Style

Høibakk, R.; Lukkassen, D.; Meidell, A.; Persson, L.-E. Geometric Construction of Some Lehmer Means. Mathematics 2018, 6, 251. https://doi.org/10.3390/math6110251

AMA Style

Høibakk R, Lukkassen D, Meidell A, Persson L-E. Geometric Construction of Some Lehmer Means. Mathematics. 2018; 6(11):251. https://doi.org/10.3390/math6110251

Chicago/Turabian Style

Høibakk, Ralph, Dag Lukkassen, Annette Meidell, and Lars-Erik Persson. 2018. "Geometric Construction of Some Lehmer Means" Mathematics 6, no. 11: 251. https://doi.org/10.3390/math6110251

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