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

DOI10.1007/s00025-022-01608-5zbMath1494.26065OpenAlexW4210825188MaRDI QIDQ2114970

Dorota Głazowska, Janusz Matkowski

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01608-5

zbMATH Keywords

iterationfunctional equationmean-type mappingconvergence of iteratesinvariance identitygeneralized harmonic meangeneralized arithmetic meangeneralized geometric mean

Mathematics Subject Classification ID

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

Cites Work

• Invariance equation for generalized quasi-arithmetic means
• Invariant and complementary quasi-arithmetic means
• Invariance of means
• The Matkowski-Sutô problem for weighted quasi-arithmetic means
• Generalization of the harmonic weighted mean via Pythagorean invariance identity and application
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