Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions

DOI10.1186/1029-242X-2013-527zbMath1297.26024WikidataQ59301976 ScholiaQ59301976MaRDI QIDQ2250341

Huan-Nan Shi, Jing Zhang

Publication date: 7 July 2014

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

zbMATH Keywords

symmetric functioninequalitySchur harmonic convexitySchur geometric convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

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• The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
• Schur-convexity for a class of symmetric functions and its applications
• On Schur convexity of some symmetric functions
• The Schur harmonic convexity of the Hamy symmetric function and its applications
• Schur-convexity of dual form of some symmetric functions
• Generalized convexity and inequalities
• Some properties for a class of symmetric functions and applications
• The Schur multiplicative and harmonic convexities of the complete symmetric function
• Inequalities: theory of majorization and its applications

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