On the intersection of two-parameter mean value families

DOI10.1090/S0002-9939-01-06050-6zbMath0979.26015OpenAlexW1560263401MaRDI QIDQ2716109

Stephan Ruscheweyh, Horst Alzer

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06050-6

zbMATH Keywords

hypergeometric functionsStolarsky meanspower meansGini meansarithmetic geometric and harmonic means

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60) Classical hypergeometric functions, ({}_2F_1) (33C05) Systems of functional equations and inequalities (39B72)

Related Items (4)

On comparison of Stolarsky and Gini means ⋮ Solving invariance equations involving homogeneous means with the help of computer ⋮ Inequalities for hyperbolic functions ⋮ Characterizations of the equality of two-variable generalized quasiarithmetic means

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-variable extended mean values
• Extended mean values. II
• Series expansions of means
• Inequalities for differences of powers
• Inequalities for sums of powers
• On the compounding of certain means
• Di una formula comprensiva delle medie
• The Logarithmic Mean in n Variables
• Gini Means
• Generalizations of the Logarithmic Mean
• Extended Mean Values
• Functional Equations Involving the Logarithmic Mean
• Minkowski’s inequality for two variable difference means
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: On the intersection of two-parameter mean value families