Mean-value theorems and some symmetric means

DOI10.1515/DEMA-2013-0472zbMath1292.26007OpenAlexW1018446270MaRDI QIDQ5747137

Janusz Matkowski

Publication date: 11 February 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0472

zbMATH Keywords

differential equationmeanmean-value theoremLagrange meanCauchy meansymmetric meantranslated quasi-geometric mean

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22) Means (26E60)

Cites Work

• A mean-value theorem and its applications
• An invariance of geometric mean with respect to Lagrangian means
• Mean value property and associated functional equations
• On weighted extensions of Cauchy's means
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Homogeneous means generated by a mean-value theorem
• Power means generated by some mean-value theorems
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