Generalization of the harmonic weighted mean via Pythagorean invariance identity and application

DOI10.2478/amsil-2020-0015zbMath1462.26036OpenAlexW3043340150WikidataQ114041424 ScholiaQ114041424MaRDI QIDQ2024132

Janusz Matkowski, Peter Kahlig

Publication date: 3 May 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2020-0015

zbMATH Keywords

iterationfunctional equationsinvariant functionsconvergence of iteratesinvariance identitygeneralized harmonic meangeneralized arithmetic and geometric meansmean-type mappings

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60)

Related Items (1)

Generalized classical weighted means, the invariance, complementarity and convergence of iterates of the mean-type mappings

Cites Work

• Invariant and complementary quasi-arithmetic means
• On the composition of homogeneous quasi-arithmetic means
• Some mean values related to the quasi-arithmetic mean
• Generalized Weighted Arithmetic Means
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