Norm and Numerical Radius Inequalities Related to the Selberg Operator
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,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/10/1860 |
| _version_ | 1797572204457623552 |
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| author | Najla Altwaijry Cristian Conde Silvestru Sever Dragomir Kais Feki |
| author_facet | Najla Altwaijry Cristian Conde Silvestru Sever Dragomir Kais Feki |
| author_sort | Najla Altwaijry |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:51:59Z |
| format | Article |
| id | doaj.art-a00f9f6bc9ac4ce8a912eeedf68a805c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T20:51:59Z |
| publishDate | 2023-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a00f9f6bc9ac4ce8a912eeedf68a805c2023-11-19T18:17:49ZengMDPI AGSymmetry2073-89942023-10-011510186010.3390/sym15101860Norm and Numerical Radius Inequalities Related to the Selberg OperatorNajla Altwaijry0Cristian Conde1Silvestru Sever Dragomir2Kais Feki3Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaConsejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires C1425FQB, ArgentinaMathematics, College of Sport, Health and Engineering, Victoria University, P.O. Box 14428, Melbourne, VIC 8001, AustraliaLaboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, University of Sfax, Sfax 3018, TunisiaThe 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.https://www.mdpi.com/2073-8994/15/10/1860Selberg operatorbounded operatorsnormnumerical radius |
| spellingShingle | Najla Altwaijry Cristian Conde Silvestru Sever Dragomir Kais Feki Norm and Numerical Radius Inequalities Related to the Selberg Operator Symmetry Selberg operator bounded operators norm numerical radius |
| title | Norm and Numerical Radius Inequalities Related to the Selberg Operator |
| title_full | Norm and Numerical Radius Inequalities Related to the Selberg Operator |
| title_fullStr | Norm and Numerical Radius Inequalities Related to the Selberg Operator |
| title_full_unstemmed | Norm and Numerical Radius Inequalities Related to the Selberg Operator |
| title_short | Norm and Numerical Radius Inequalities Related to the Selberg Operator |
| title_sort | norm and numerical radius inequalities related to the selberg operator |
| topic | Selberg operator bounded operators norm numerical radius |
| url | https://www.mdpi.com/2073-8994/15/10/1860 |
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