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].
Nasiri,L , Shakoori,M and Liao,W . (2017). A note on the Young type inequalities. International Journal of Nonlinear Analysis and Applications, 8(1), 261-267. doi: 10.22075/ijnaa.2017.1231.1289
MLA
Nasiri,L , , Shakoori,M , and Liao,W . "A note on the Young type inequalities", International Journal of Nonlinear Analysis and Applications, 8, 1, 2017, 261-267. doi: 10.22075/ijnaa.2017.1231.1289
HARVARD
Nasiri L, Shakoori M, Liao W. (2017). 'A note on the Young type inequalities', International Journal of Nonlinear Analysis and Applications, 8(1), pp. 261-267. doi: 10.22075/ijnaa.2017.1231.1289
CHICAGO
L Nasiri, M Shakoori and W Liao, "A note on the Young type inequalities," International Journal of Nonlinear Analysis and Applications, 8 1 (2017): 261-267, doi: 10.22075/ijnaa.2017.1231.1289
VANCOUVER
Nasiri L, Shakoori M, Liao W. A note on the Young type inequalities. IJNAA. 2017;8(1):261-267. doi: 10.22075/ijnaa.2017.1231.1289
International Journal of Nonlinear Analysis and Applications