On a method of construction of new means with applications

Journal of inequalities and applications

Mustapha Raï¹ 

关键词: means;    decomposable means;    mean-inequalities;    Stolarsky mean;    Gini mean;   

DOI  :  10.1186/1029-242X-2013-89

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, we would like to introduce a simple transformation for bivariate means from which we derive a lot of new means. Relationships between the standard means are also obtained. A simple link between the Stolarsky mean and the Gini mean is given. As applications, this transformation allows us to extend some means from two to three or more arguments. MSC:26E60.

【 授权许可】

CC BY