Some properties of a class of symmetric functions

DOI10.1016/j.jmaa.2007.02.064zbMath1127.26018OpenAlexW2046082950MaRDI QIDQ2644000

Kaizhong Guan

Publication date: 27 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.02.064

zbMATH Keywords

Schur convexityKy Fan inequalityShapiro inequalitygeometric Schur convexity

Mathematics Subject Classification ID

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

Related Items (15)

Hardy-Littlewood-Polya's inequality and a new concept of weak majorization ⋮ The property of a new class of symmetric functions with applications ⋮ Supermigrative copulas and positive dependence ⋮ Some properties of a class of symmetric functions and its applications ⋮ A note on Schur-concave functions ⋮ Some properties of a generalized Hamy symmetric function and its applications ⋮ Refinements of inequalities among difference of means ⋮ Schur convexity for two classes of symmetric functions and their applications ⋮ The Schur multiplicative and harmonic convexities for three classes of symmetric functions ⋮ Schur-convexity for a class of symmetric functions and its applications ⋮ Schur convexity for a class of symmetric functions ⋮ Supermigrativity of aggregation functions ⋮ Schur convexity 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 ⋮ Compositions involving Schur geometrically convex functions

Cites Work

• Convex functions, partial orderings, and statistical applications
• On some inequalities of Ky Fan and Wang-Wang
• A short proof of Ky Fan's arithmetic-geometric inequality
• Matrix Inequalities by Means of Block Matrices
• Convexity according to the geometric mean
• Analytic Inequalities
• Inequalities: theory of majorization and its applications
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