Explicit forms of invariant means: complementary results to Gauss \(\left( {\mathcal{A}},{\mathcal{G}}\right) \)-theorem and some applications

DOI10.1007/s00010-023-00974-xOpenAlexW4384342929WikidataQ123025866 ScholiaQ123025866MaRDI QIDQ6185253

Janusz Matkowski

Publication date: 8 January 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-023-00974-x

zbMATH Keywords

iterationfunctional equationinvariant meanmeanelliptic integralGauss theoremmean-type mapping

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Means (26E60)

Cites Work

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• Means in mathematical analysis. Bivariate means
• A commentary on Gauss's mathematical diary, 1796--1814, with an English translation
• Invariant and complementary quasi-arithmetic means
• Mean-type mappings and invariance principle
• Means, generalized harmony proportion and applications

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