Norm and Numerical Radius Inequalities Related to the Selberg Operator

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Altwaijry, Najla ORCID: 0000-0001-7442-8841, Conde, Cristian ORCID: 0000-0002-5699-4740, Dragomir, Sever S ORCID: 0000-0003-2902-6805 and Feki, Kais ORCID: 0000-0002-9326-4173 (2023) Norm and Numerical Radius Inequalities Related to the Selberg Operator. Symmetry, 15 (10). ISSN 2073-8994


The main focus of this paper is the study of the Selberg operator. It aims to establish appropriate bounds for the norm and numerical radius of the product of three bounded operators, with one of them being a Selberg operator. Moreover, it offers several bounds involving the summation of operators, notably the Selberg operator. Through the examination of these properties and relationships, this study contributes to a better understanding of the Selberg operator and its influence on operator compositions. The paper also highlights the significance of symmetry in mathematics and its potential implications across various mathematical domains.

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Item type Article
DOI 10.3390/sym15101860
Official URL
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > College of Science and Engineering
Keywords Selberg operator, norm, numerical radius, mathematics, algebra
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