A note on Schur-concave functions

DOI10.1186/1029-242X-2012-159zbMath1280.26025OpenAlexW2129204133WikidataQ59289085 ScholiaQ59289085MaRDI QIDQ379094

Ionel Rovenţa

Publication date: 8 November 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-159

zbMATH Keywords

optimizationisoperimetric inequalitySchur-concave functions

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integration of real functions of several variables: length, area, volume (26B15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (6)

Hardy-Littlewood-Polya's inequality and a new concept of weak majorization ⋮ The key role of convexity in some copula constructions ⋮ On some eigenvalue inequalities for Schatten-von Neumann operators ⋮ Polynomial bivariate copulas of degree five: characterization and some particular inequalities ⋮ Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions ⋮ Schur-convexity for compositions of complete symmetric function dual

Cites Work

• Fan's inequality in geodesic spaces
• Schur convexity for a class of symmetric functions
• Convexity of the integral arithmetic mean of a convex function
• Convexity of products of univariate functions and convexification transformations for geometric programming
• Solution of an open problem for Schur convexity or concavity of the Gini mean values
• Some properties of a class of symmetric functions
• The Schur multiplicative and harmonic convexities of the complete symmetric function
• On some inequalities for elementary symmetric functions
• Schur-convex functions and isoperimetric inequalities

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