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

S. Amat (), P. Ortiz (), J. Ruiz (), J. C. Trillo () and D. F. Yáñez ()
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S. Amat: Universidad Politécnica de Cartagena
P. Ortiz: Universidad Politécnica de Cartagena
J. Ruiz: Universidad Politécnica de Cartagena
J. C. Trillo: Universidad Politécnica de Cartagena
D. F. Yáñez: Universidad de Valencia

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 794-804

Abstract: 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.

Keywords: Arithmetic mean; Harmonic mean; Weighted arithmetic mean; Weighted harmonic mean; Reconstruction operators; Adaptation; Singularities; 41A05; 41A10; 65D17 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00409-y

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