A note on the Young type inequalities

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. ۴ (۲۰۱۲) ۱۲--۱۷].

Keywords:

Young inequality , Hilbert-Schmidt norm , Positive semidefinite matrices , Refinements

Authors

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Department Mathematics, Lorestan University, Iran

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Department Mathematics, Lorestan University, Iran

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College of Mathematics and Statistics, Chongqing University, Chongqing, ۴۰۱۳۳۱, P.R. China

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شناسه ملی سند علمی:

JR_IJNAA-8-1_022

تاریخ نمایه سازی: 11 آذر 1401

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