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Refined Kato inequality and applications to norm and numerical radius inequalities

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we present refinements of Kato’s inequality; then, we employ these refinements to obtain some norm and numerical radius inequalities. Our results improve some celebrated inequalities in the literature.

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Acknowledgements

The authors would like to express their gratitude to the anonymous referees, whose comments have considerably improved the quality of the paper.

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Authors and Affiliations

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

    Fuad Kittaneh

  2. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

    Hamid Reza Moradi

  3. Department of Basic Sciences, Princess Sumaya University for Technology, Amman, Jordan

    Mohammad Sababheh

Authors
  1. Fuad Kittaneh
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  2. Hamid Reza Moradi
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  3. Mohammad Sababheh
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Authors declare that they have contributed equally to this paper.

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Correspondence to Mohammad Sababheh.

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Kittaneh, F., Moradi, H.R. & Sababheh, M. Refined Kato inequality and applications to norm and numerical radius inequalities. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 97 (2024). https://doi.org/10.1007/s13398-024-01600-4

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  • DOI: https://doi.org/10.1007/s13398-024-01600-4

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