Inequalities for symmetric means, symmetric harmonic means, and their applications

DOI10.1017/S0004972700031191zbMath0894.26010OpenAlexW2144925299MaRDI QIDQ4380513

Xin-Min Zhang, Hsu-Tung Ku, Mei-chin Ku

Publication date: 11 June 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031191

zbMATH Keywords

symmetric meansgeometric isoperimetric inequalitiesplane polygones

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities for sums, series and integrals (26D15) Isoperimetric problems for polytopes (52B60)

Related Items (5)

Some properties of a generalized Hamy symmetric function and its applications ⋮ Schur \(m\)-power convexity of a class of multiplicatively convex functions and applications ⋮ Some properties for a class of symmetric functions with applications ⋮ The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications ⋮ The Schur harmonic convexity of the Hamy symmetric function and its applications

Cites Work

• Analytic and geometric isoperimetric inequalities
• The First Eigenvalue of a Scalene Triangle
• Cyclic polygons and related questions
• The isoperimetric inequality
• Analytic Inequalities
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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