Schur convexity of generalized Heronian means involving two parameters

DOI10.1155/2008/879273zbMath1165.26014OpenAlexW2163083809WikidataQ59219531 ScholiaQ59219531MaRDI QIDQ1008465

Shan-He Wu, Huan-Nan Shi, Mihály Bencze, Da-Mao Li

Publication date: 30 March 2009

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

Full work available at URL: https://eudml.org/doc/130310

zbMATH Keywords

Schur convexityHeronian meansgeneralized logarithmic meansSchur-geometric convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (10)

Some majorization integral inequalities for functions defined on rectangles ⋮ Necessary and sufficient conditions on the Schur convexity of a bivariate mean ⋮ Schur convexity of mixed mean of n variables involving three parameters ⋮ Schur-convexity for a mean of two variables with three parameters ⋮ Optimal inequalities for power means ⋮ Unnamed Item ⋮ Refinements of inequalities among difference of means ⋮ The Schur-convexity of the generalized Muirhead-Heronian means ⋮ A relation of weak majorization and its applications to certain inequalities for means ⋮ Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters

Cites Work

• Schur-convexity of two types of one-parameter mean values in \(n\) variables
• The generalized Heronian mean and its inequalities

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