Journal of Shanghai University(Natural Science Edition) ›› 2016, Vol. 22 ›› Issue (4): 461-468.doi: 10.3969/j.issn.1007-2861.2015.01.014

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A class of extension of the Young inequality

WU Shujun1,2, SHI Zhongrui1   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. Department of Basic Mathematics, China University of Petroleum, Qingdao 266580, Shandong, China
  • Received:2014-12-01 Online:2016-08-30 Published:2016-08-30

Abstract:

The proof of a revise for Theorem 1.10 in Geometry of Orlicz Spaces is presented. A class of extension of the Young inequality is then established based on the revision to improve the Young inequality.

Key words:  N-function ,  right-inverse function, Young inequality