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

被引：0
|
作者：
Yong-Ping Deng
Yu-Ming Chu
Shan-He Wu
Lokenath Debnath
Deng He
机构：
[1] Longyan University,Department of Mathematics and Computer Science
[2] Hunan City University,School of Mathematics and Computation Science
[3] University of Texas-Pan American,Department of Mathematics
[4] Gangtou Middle School,undefined
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
generalized Gini-Heronian means; Schur-geometric convex; Schur-geometric concave; parameter; inequality;
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摘要：
In this paper, we give a unified generalization of the Gini means and Heronian means. The Schur-geometric convexity of the generalized Gini-Heronian means are investigated. Our result generalizes an earlier result given by Shi et al. (J. Inequal. Appl. 2008:879273, 2008). At the end of the paper, two new inequalities related to the generalized Gini-Heronian means are established to illustrate the applicability of the given result.
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