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Improvement of Furuta’s Inequality with Applications to Numerical Radius

Author

Listed:
  • Mohammad W. Alomari

    (Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid 21110, Jordan)

  • Mojtaba Bakherad

    (Department of Mathematics, University of Sistan and Baluchestan, Zahedan 98155-987, Iran)

  • Monire Hajmohamadi

    (Department of Mathematics, University of Sistan and Baluchestan, Zahedan 98155-987, Iran)

  • Christophe Chesneau

    (Department of Mathematics, Université de Caen Basse-Normandie, F-14032 Caen, France)

  • Víctor Leiva

    (School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile)

  • Carlos Martin-Barreiro

    (Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador
    Faculty of Engineering, Universidad Espíritu Santo, Samborondón 0901952, Ecuador)

Abstract

In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.

Suggested Citation

  • Mohammad W. Alomari & Mojtaba Bakherad & Monire Hajmohamadi & Christophe Chesneau & Víctor Leiva & Carlos Martin-Barreiro, 2022. "Improvement of Furuta’s Inequality with Applications to Numerical Radius," Mathematics, MDPI, vol. 11(1), pages 1-11, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:36-:d:1011162
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