Means produced by distances

DOI10.7153/mia-2021-24-25zbMath1477.26050OpenAlexW3158334820MaRDI QIDQ4991578

Panagiotis T. Krasopoulos, Mowaffaq Hajja, Volker Diels-Grabsch

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2021-24-25

zbMATH Keywords

distanceslogarithmic meanmean value theoremmeansStolarsky meansquasi-arithmetic means

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) General theory of distance geometry (51K05) Means (26E60)

Cites Work

• Some elementary aspects of means
• Three families of two-parameter means constructed by trigonometric functions
• On the compounding of certain means
• Functions Which Parametrize Means
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• Looking for a Few Good Means
• The Logarithmic Mean Revisited
• The Logarithmic Mean
• The Substitutive Mean and Certain Subclasses of this General Mean
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