A note on the Young type inequalities

نویسندگان
Liao, Wenshi ID 1
Nasiri, Leila ID 2
Shakoori, Mahmood ID 3

1 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China

2 Department Mathematics, Lorestan University, Iran

3 Department Mathematics, Lorestan University, Iran

doi
10.22075/ijnaa.2017.1231.1289
چکیده

In this   paper,  we   present  some  refinements  of the   famous Young  type  inequality.   As  application  of   our   result, we  obtain  some  matrix inequalities   for   the  Hilbert-Schmidt norm  and   the  trace   norm. The results    obtained   in  this  paper  can  be   viewed   as  refinement  of  the   derived  results   by  H.  Kai  [Young  type  inequalities  for matrices,  J.  East   China  Norm.   Univ. 4 (2012)  12--17].

کلیدواژه‌ها
Young inequality, Hilbert-Schmidt norm, Positive semidefinite matrices, Refinements