A relation of weak majorization and its applications to certain inequalities for means

DOI10.2478/s12175-011-0028-zzbMath1265.26092OpenAlexW1989076644MaRDI QIDQ3016484

Huan-Nan Shi, Shan-He Wu

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.2478/s12175-011-0028-z

zbMATH Keywords

inequalityarithmetic meangeometric meanpower meanweak majorizationelementary symmetric functionSchur-concavity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (6)

Some majorization integral inequalities for functions defined on rectangles ⋮ Majorization involving the cyclic moving average ⋮ Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities ⋮ Schur \(m\)-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means ⋮ Optimal inequalities for power means ⋮ Schur convexity of Bonferroni harmonic mean

Cites Work

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• Schur convexity of generalized Heronian means involving two parameters
• Schur-convexity and Schur-geometrically concavity of Gini means
• Inequalities for convex sequences and their applications
• Majorized proof and improvement of the discrete Steffensen's inequality
• Generalization and sharpness of the power means inequality and their applications
• Generalizations of Bernoulli's inequality with applications
• Schur-Convex functions related to Hadamard-type inequalities
• An alternative note on the Schur-convexity of the extended mean values
• Inequalities: theory of majorization and its applications

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