Title of article :
A note on the Young type inequalities
Author/Authors :
Nasiri, Leila Department Mathematics - Lorestan University , Shakoori, Mahmood Department Mathematics - Lorestan University , Liao, Wenshi Chongqing University - Chongqing, China
Abstract :
In this paper, we present some renements 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 renement of the derived results by H. Kai [Young
type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12{17].
Keywords :
Young inequality , Hilbert-Schmidt norm
Journal title :
Astroparticle Physics