On iteration semigroups of mean-type mappings and invariant means

DOI10.1007/PL00013194zbMath1020.39011OpenAlexW2009058275MaRDI QIDQ1861183

Janusz Matkowski

Publication date: 13 March 2003

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

Full work available at URL: https://doi.org/10.1007/pl00013194

zbMATH Keywords

iterationfunctional equationcompositioncontinuous functionsquasiarithmetic weighted means

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Functional equations for real functions (39B22) Means (26E60)

Related Items (9)

On the quasi-arithmetic Gauss-type iteration ⋮ Embeddability of mean-type mappings in a continuous iteration semigroup ⋮ Invariance property for extended means ⋮ Invariance of means ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Square iterative roots of generalized weighted quasi-arithmetic mean-type mappings ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ Unnamed Item ⋮ Characterization of the Hardy property of means and the best Hardy constants

This page was built for publication: On iteration semigroups of mean-type mappings and invariant means