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New numerical radius inequalities for operator matrices and a bound for the zeros of polynomials

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Abstract

In this paper, we give some bounds for the numerical radii of \(n \times n\) operator matrices. Also, we derive a new bound for the zeros of polynomials.

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Acknowledgements

The authors are grateful to the referees for their comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Mustapha Stambouli University, Mascara, 29000, Algeria

    Abdelkader Frakis & Soumia Soltani

  2. Department of Mathematics, The University of Jordan, Amman, Jordan

    Fuad Kittaneh

Authors
  1. Abdelkader Frakis
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  2. Fuad Kittaneh
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  3. Soumia Soltani
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Correspondence to Fuad Kittaneh.

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The authors declare that they have no competing interest.

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Communicated by Miguel Martin.

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Frakis, A., Kittaneh, F. & Soltani, S. New numerical radius inequalities for operator matrices and a bound for the zeros of polynomials. Adv. Oper. Theory 8, 6 (2023). https://doi.org/10.1007/s43036-022-00232-y

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  • DOI: https://doi.org/10.1007/s43036-022-00232-y

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