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More Generalizations of Hartfiel’s Inequality and the Brunn–Minkowski Inequality

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Abstract

In this note, we give some other generalizations of Hartfiel’s inequality and the Brunn–Minkowski inequality to sector matrices, the results obtained improve those of Lin (Arch Math 104:93–100, 2015) and Liu (Linear Algebra Appl 508:206–213, 2016).

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Acknowledgements

We acknowledge the helpful comments from the referee. The work was supported by National Natural Science Foundation of China (NNSFC) [Grant number 11971294].

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Correspondence to Sheng Dong.

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Communicated by Abbas Salemi.

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Dong, S., Wang, Q. More Generalizations of Hartfiel’s Inequality and the Brunn–Minkowski Inequality. Bull. Iran. Math. Soc. (2020). https://doi.org/10.1007/s41980-020-00363-z

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Keywords

  • Hartfiel’s inequality
  • The Brunn–Minkowski inequality
  • Sector matrices

Mathematics Subject Classification

  • 15A45
  • 47A63