Schur-convexity and Schur-geometrically concavity of Gini means

DOI10.1016/j.camwa.2008.11.001zbMath1165.26311OpenAlexW2027262536MaRDI QIDQ1029870

Huan-Nan Shi, Yong-Ming Jiang, Wei-Dong Jiang

Publication date: 13 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.11.001

zbMATH Keywords

inequalitiesSchur-convexityStolarsky meansGini meansSchur-geometric concavity

Mathematics Subject Classification ID

Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

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Cites Work

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• Notes on the Schur-convexity of the extended mean values
• Inequalities for differences of powers
• Inequalities for sums of powers
• On comparison of Stolarsky and Gini means
• The Schur-convexity of Stolarsky and Gini means
• Di una formula comprensiva delle medie
• The Power and Generalized Logarithmic Means
• Generalizations of the Logarithmic Mean
• A generalization of Pólya's inequality to Stolarsky and Gini means
• Convexity according to the geometric mean
• An alternative note on the Schur-convexity of the extended mean values
• Inequalities: theory of majorization and its applications

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