Some new Young type inequalities

Yonghui Ren; Yonghui Ren

doi:10.3934/math.2024359

AIMS Mathematics

2024, Volume 9, Issue 3: 7414-7425. doi: 10.3934/math.2024359

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Research article

Some new Young type inequalities

Yonghui Ren ^,

School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China

Received: 23 December 2023 Revised: 21 January 2024 Accepted: 01 February 2024 Published: 21 February 2024
MSC : 15A45, 47A30

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.
- Young's inequality,
- Kantorovich constant,
- operator inequalities,
- Hilbert-Schmidt norm,
- trace
Citation: Yonghui Ren. Some new Young type inequalities[J]. AIMS Mathematics, 2024, 9(3): 7414-7425. doi: 10.3934/math.2024359

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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.

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