On the identric and logarithmic means

DOI10.1007/BF02112299zbMath0717.26014OpenAlexW2002142338MaRDI QIDQ753976

József Sándor

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/137377

zbMATH Keywords

inequalitieslogarithmic meanarithmetic meangeometric meanintegral meanmonotonic functionsidentric meanLogarithmic convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

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Cites Work

• Unnamed Item
• Some integral inequalities
• Extended mean values. II
• Ungleichungen für Mittelwerte. (Inequalities for means)
• Eine allgemeine logarithmische Ungleichung. (A general logarithmic inequality)
• On an inequality of Ky Fan
• Eine Integralungleichung für streng monotone Funktionen mit logarithmisch konvexer Umkehrfunktion. (An integral inequality for strictly monotonic functions with a logarithmically convex inverse function)
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Some Inequalities for Hypergeometric Functions
• Analytic Inequalities
• The Logarithmic Mean