On Schur convexity of some symmetric functions

DOI10.1155/2010/543250zbMath1187.26007OpenAlexW1978987936WikidataQ59250058 ScholiaQ59250058MaRDI QIDQ962502

Wei-Feng Xia, Yu-Ming Chu

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/233628

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

Some properties of a class of symmetric functions and its applications ⋮ Schur convexity for two classes of symmetric functions and their applications ⋮ Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions ⋮ Some properties for a class of symmetric functions with applications ⋮ Majorization theorems for strongly convex functions ⋮ Schur-convexity for compositions of complete symmetric function dual ⋮ Compositions involving Schur geometrically convex functions

Cites Work

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• Schur convex functions on the spectra of graphs
• Notes on the Schur-convexity of the extended mean values
• Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-convave
• The Schur harmonic convexity of the Hamy symmetric function and its applications
• Generalization and sharpness of the power means inequality and their applications
• Schur-convexity of the complete symmetric function
• Schur-convex functions and isoperimetric inequalities
• A class of symmetric functions for multiplicatively convex function
• Some properties of dual form of the Hamy's symmetric function
• Inequalities: theory of majorization and its applications

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