A note on the Young type inequalities | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 22، دوره 8، شماره 1، 2017، صفحه 261-267 اصل مقاله (316.54 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1231.1289 | ||
| نویسندگان | ||
| Leila Nasiri* 1؛ Mahmood Shakoori1؛ Wenshi Liao2 | ||
| 1Department Mathematics, Lorestan University, Iran | ||
| 2College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China | ||
| 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 | ||
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