A kind of extension of the famous Young inequality

Journal of inequalities and applications

Luo Xianqiang¹ 

关键词: Young inequality;    N-function;    strictly convex function;   

DOI  :  10.1186/1029-242X-2013-437

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Young inequality, extended in (Geometry of Orlicz Spaces, 1986; Geometry of Orlicz Spaces, 1996), has extensive use and great effort in mathematical analysis. By the kind of extended Young inequality, we can get the famous Holder inequality and the Minkowski inequality. But until now, we have not found its strict proof of analysis. In (Geometry of Orlicz Spaces, 1986; Geometry of Orlicz Spaces, 1996), only the probable pattern description was found. In this paper, we will get the strict proof of analysis of a kind of extension of Young inequality with the approximation method. MSC:46B20, 46B02, 46A22.

【 授权许可】

CC BY