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An Extension of the AM–GM–HM Inequality

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Abstract

We obtained an AM–GM–HM inequality for sector matrices which is more general than the existing ones obtained in Liu and Wang (Bull Iran Math Soc 44:1059–1066, 2018), Lin (Oper Matrices 10:915–921, 2016). As an application, we present some determinant inequalities.

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Acknowledgements

The authors are grateful to the referees for valuable comments. This work was supported by the National Nature Science Foundation of China (Grant No. 11771275).

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Fuping Tan & Antai Xie

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  1. Fuping Tan
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  2. Antai Xie
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Correspondence to Fuping Tan.

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Communicated by Abbas Salemi.

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Tan, F., Xie, A. An Extension of the AM–GM–HM Inequality. Bull. Iran. Math. Soc. 46, 245–251 (2020). https://doi.org/10.1007/s41980-019-00253-z

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  • DOI: https://doi.org/10.1007/s41980-019-00253-z

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