Improvement of Furuta’s Inequality with Applications to Numerical Radius

Mohammad W. Alomari, Mojtaba Bakherad, Monire Hajmohamadi, Christophe Chesneau, Víctor Leiva () and Carlos Martin-Barreiro
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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

Mathematics, 2022, vol. 11, issue 1, 1-11

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.

Keywords: Dragomir extension; inner product; isometry; Kato inequality; linear and bounded operator; normed space; power-mean inequality; Schwarz inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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