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New progress on refinements Young type inequalities with Kantorovich constant | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 18 مهر 1403 اصل مقاله (410.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33479.4991 | ||
| نویسندگان | ||
| Ghodratolah Shafiei؛ Esmaeil Feizi* | ||
| Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran | ||
| تاریخ دریافت: 18 اسفند 1402، تاریخ پذیرش: 11 اردیبهشت 1403 | ||
| چکیده | ||
| In this article, we introduce refinements of Young-type inequalities for scalars. We then extend these inequalities to encompass versions based on Hilbert-Schmidt and trace norms. The results presented in this paper represent refinements of the findings originally established by Nasiri and Shakoori [6]. | ||
| کلیدواژه‌ها | ||
| Young Type Inequalities؛ Hilbert-Schmidt؛ Norm (Frobinius)؛ trace norm؛ Positive Semidefinite Matrices؛ Singular Values؛ Refinement | ||
| مراجع | ||
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[1] R. Bhatia, Matrix Analysis, Springer Verlag, New York, 1996. [2] X. Hu, Young type inequalities for matrices, J. East China Norm Univ. 4 (2012), 12–17. [3] L. Nasiri, M. Shakoori, and W. Liao, A note on Young type inequalities, Int. J. Nonlinear Anal. Appl. 8 (2017), no. 1, 261–267. [4] J.L. Wu and J.G. Zhao, Operator inequalities and reverse inequalities related to the Kittaneh–Manasrah inequalities, Linear Multilinear Algeb. 62 (2013), 894–884. [5] H. Zuo, G. Shi, and M. Fujii, Refined Young inequality with Kantorovich constant, J. Math. Inequal. 5 (2011), 551–556. [6] L. Nasiri and M. Shakoori, A note on improved Young type inequalities with Kantorovich constant, J. Math. Statist. 12 (2016), no. 3, 201–205. [7] J. Zhang and J. Wu, New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant, J. Inequal Appl. 2017 (2017), 1–16. | ||
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