On a class of new means including the generalized Schwab-Borchardt mean

Journal of inequalities and applications

Mustapha Raï¹ 

关键词: bivariate mean;    weighted mean;    Schwab-Borchardt mean;    26E60;   

DOI  :  10.1186/s13660-017-1412-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The so-called Schwab-Borchardt mean plays an important role in the theory of (bivariate) means. It includes a lot of standard means, such as the logarithmic mean, the first and second Seiffert means and the Neuman-Sándor mean. In this paper, we investigate an approach which allows us to construct a class of new means. Such class includes the (generalized) Schwab-Borchardt mean and other old/new means derived as well.

【 授权许可】

CC BY