Some new Young type inequalities

Abstract

In this paper, we gave some generalized Young type inequalities due to Zuo and Li [J. Math. Inequal., 16 (2022), 1169-1178], and we also presented a new Young type inequality. As applications, we obtained some operator inequalities and matrix versions inequalities including the Hilbert-Schmidt norm and trace.

Keywords

• young's inequality
• kantorovich constant
• operator inequalities
• hilbert-schmidt norm
• trace