Some generalized matrix means inequalities

Junmei Zuo; Yonghui Ren; Junmei Zuo; Yonghui Ren

doi:10.3934/math.2025597

AIMS Mathematics

2025, Volume 10, Issue 6: 13319-13329. doi: 10.3934/math.2025597

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Research article

Some generalized matrix means inequalities

Junmei Zuo ^{1
,},
Yonghui Ren ^{1,2
,
,}

1.
School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
2.
School of Mathematics and Statistics, Henan Normal University, Xinxiang 453007, China

Received: 21 April 2025 Revised: 29 May 2025 Accepted: 06 June 2025 Published: 10 June 2025
MSC : 15A45, 47A63, 47A30, 15A60

In this paper, we will give some AM-GM-HM singular values inequalities and some weighted power mean inequalities, our results generalized and complete the existed ones.
- power mean inequalities,
- singular values,
- convex function
Citation: Junmei Zuo, Yonghui Ren. Some generalized matrix means inequalities[J]. AIMS Mathematics, 2025, 10(6): 13319-13329. doi: 10.3934/math.2025597

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Abstract

In this paper, we will give some AM-GM-HM singular values inequalities and some weighted power mean inequalities, our results generalized and complete the existed ones.

References

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