Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters

DOI10.1186/1029-242X-2014-413zbMath1332.26039OpenAlexW2096853520WikidataQ59324577 ScholiaQ59324577MaRDI QIDQ257809

Deng He, Yong-Ping Deng, Shan-He Wu, Lokenath Debnath, Yu-Ming Chu

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-413

zbMATH Keywords

inequalityparametergeneralized Gini-Heronian meansSchur-geometric concaveSchur-geometric convex

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Cites Work

• Unnamed Item
• Unnamed Item
• Schur-convexity of the generalized Heronian means involving two positive numbers
• The Schur convexity of Gini mean values in the sense of harmonic mean
• Schur convexity of generalized Heronian means involving two parameters
• Schur-convexity and Schur-geometrically concavity of Gini means
• Solution of an open problem for Schur convexity or concavity of the Gini mean values
• Some new judgement theorems of Schur geometric and Schur harmonic convexities for a class of symmetric functions
• Schur-convexity of dual form of some symmetric functions
• The Schur-convexity of Stolarsky and Gini means
• Di una formula comprensiva delle medie
• A note on generalized Heronian means
• Schur power convexity of the Daróczy means
• SCHUR POWER CONVEXITY OF GINI MEANS
• Schur-convexity, Schur geometric and Schur harmonic convexities of dual form of a class symmetric functions
• ARITHMETIC MEAN OF VALUES AND VALUE AT MEAN OF ARGUMENTS FOR CONVEX FUNCTIONS
• Differential Criterion of n-Dimensional Geometrically Convex Functions
• Inequalities: theory of majorization and its applications

This page was built for publication: Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters