Geometric representation of the weighted harmonic mean of n positive values and potential applications.

Indian Journal of Pure and Applied Mathematics(2023)

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摘要
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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关键词
Arithmetic mean,Harmonic mean,Weighted arithmetic mean,Weighted harmonic mean,Reconstruction operators,Adaptation,Singularities
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