More Correct Berezin Symbol Inequalities
The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality. These inequalities are a refined version of Huban et al.'s inequalities (Huban et al., 2021...
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| Format: | Article |
| Language: | English |
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Dera Natung Government College
2023-12-01
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| Series: | Dera Natung Government College Research Journal |
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| Online Access: | https://dngc.ac.in/journals/index.php/dngcrj/article/view/169 |
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| author | Hamdullah Başaran Mehmet Gurdal |
| author_facet | Hamdullah Başaran Mehmet Gurdal |
| author_sort | Hamdullah Başaran |
| collection | DOAJ |
| description | The purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality. These inequalities are a refined version of Huban et al.'s inequalities (Huban et al., 2021b; Huban et al., 2022a) and Başaran et al.'s inequalities (Başaran et al., 2022). Finally, we prove last three theorems by applying the method of Cartesian decomposition. |
| format | Article |
| id | doaj-art-425f238ad2b241e99f1fe7df80f41c38 |
| institution | Kabale University |
| issn | 2456-8228 2583-5483 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Dera Natung Government College |
| record_format | Article |
| series | Dera Natung Government College Research Journal |
| spelling | doaj-art-425f238ad2b241e99f1fe7df80f41c382025-08-20T03:24:44ZengDera Natung Government CollegeDera Natung Government College Research Journal2456-82282583-54832023-12-0181466610.56405/dngcrj.2023.08.01.04169More Correct Berezin Symbol InequalitiesHamdullah Başaran0https://orcid.org/0000-0002-9864-9515Mehmet Gurdal1https://orcid.org/0000-0003-0866-1869Department of Mathematics, Suleyman Demirel University, Isparta, TurkeyDepartment of Mathematics, Suleyman Demirel University, Isparta, TurkeyThe purpose of this research is to show bounds for some Berezin number inequalities in an innovative approach. Some inequalities have been proven using the improvement of the Hermite-Hadamard inequality. These inequalities are a refined version of Huban et al.'s inequalities (Huban et al., 2021b; Huban et al., 2022a) and Başaran et al.'s inequalities (Başaran et al., 2022). Finally, we prove last three theorems by applying the method of Cartesian decomposition.https://dngc.ac.in/journals/index.php/dngcrj/article/view/169berezin numberberezin normhermite-hadamard inequalityoperator convex functionjensen inequality |
| spellingShingle | Hamdullah Başaran Mehmet Gurdal More Correct Berezin Symbol Inequalities Dera Natung Government College Research Journal berezin number berezin norm hermite-hadamard inequality operator convex function jensen inequality |
| title | More Correct Berezin Symbol Inequalities |
| title_full | More Correct Berezin Symbol Inequalities |
| title_fullStr | More Correct Berezin Symbol Inequalities |
| title_full_unstemmed | More Correct Berezin Symbol Inequalities |
| title_short | More Correct Berezin Symbol Inequalities |
| title_sort | more correct berezin symbol inequalities |
| topic | berezin number berezin norm hermite-hadamard inequality operator convex function jensen inequality |
| url | https://dngc.ac.in/journals/index.php/dngcrj/article/view/169 |
| work_keys_str_mv | AT hamdullahbasaran morecorrectberezinsymbolinequalities AT mehmetgurdal morecorrectberezinsymbolinequalities |