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. & Liao, W. (2017). A note on the Young type inequalities. International Journal of Nonlinear Analysis and Applications, 8(1), 261–267. https://doi.org/10.22075/ijnaa.2017.1231.1289
MLA
Nasiri, L., Shakoori, M., & 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
Nasiri, L., Shakoori, M. & 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
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