On some invariance of the quotient mean with respect to Makó-Páles means

DOI10.1007/s00010-017-0502-yzbMath1382.26030OpenAlexW2751061794MaRDI QIDQ1689420

Bing Xu, Qian Zhang

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1007/s00010-017-0502-y

zbMATH Keywords

functional equationinvariance equationquotient meanstrict meanMakó-Páles mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Means (26E60)

Related Items

Some Cauchy mean-type mappings for which the arithmetic mean is invariant, Invariance of means

Cites Work

• A solution of an open problem concerning Lagrangian mean-type mappings
• Quotient mean, its invariance with respect to a quasi-arithmetic mean-type mapping, and some applications
• An invariance of geometric mean with respect to Lagrangian means
• The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means
• The Matkowski-Sutô problem for weighted quasi-arithmetic means
• An invariance of geometric mean with respect to generalized quasi-arithmetic means
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