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Generalization of the Harmonic Weighted Mean Via Pythagorean Invariance Identity and Application Cover

Generalization of the Harmonic Weighted Mean Via Pythagorean Invariance Identity and Application

Annales Mathematicae Silesianae
Volume 34 (2020): Issue 1 (July 2020)
By: Peter Kahlig and  Janusz Matkowski  
Open Access
|Jul 2020

Authors

Peter Kahlig

peter.kahlig@gmail.com

Department of Meteorology and Geophysics, University of Vienna, Vienna, Austria

Janusz Matkowski

j.matkowski@wmie.uz.zgora.pl

Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Zielona Góra, Poland
DOI: https://doi.org/10.2478/amsil-2020-0015 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
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Language: English
Page range: 104 - 122
Submitted on: Jul 20, 2019
|
Accepted on: Jun 3, 2020
|
Published on: Jul 9, 2020
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
generalized arithmetic and geometric means,
invariance identity,
generalized harmonic mean,
functional equations,
mean-type mappings,
iteration,
convergence of iterates,
invariant functions
Related subjects:
Mathematics,
General mathematics

© 2020 Peter Kahlig, Janusz Matkowski, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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