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Geometric representation of the weighted harmonic mean of $n$ positive values and potential uses (2202.09200v1)

Published 18 Feb 2022 in math.NA and cs.NA

Abstract: This paper is dedicated to the analysis and detailed study of a procedure to generate both the weighted arithmetic and harmonic means of $n$ positive real numbers. Together with this interpretation, we prove some relevant properties that will allow us to define numerical approximation methods in several dimensions adapted to discontinuities.

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