On further refinements for Young inequalities
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality. Secondly, we give an additive result, which improves a well-known inequality due to Tominaga. We also provide some estimates for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-12-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2018-0115 |
| _version_ | 1818595838171021312 |
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| author | Furuichi Shigeru Moradi Hamid Reza |
| author_facet | Furuichi Shigeru Moradi Hamid Reza |
| author_sort | Furuichi Shigeru |
| collection | DOAJ |
| description | In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality. Secondly, we give an additive result, which improves a well-known inequality due to Tominaga. We also provide some estimates for the difference A1/2(A−1/2BA−1/2)vA1/2-{(1-v)A + vB} for v∉[ 0,1]. |
| first_indexed | 2024-12-16T11:22:22Z |
| format | Article |
| id | doaj.art-f74e6dea0c0c4eb79e9cc80b745b6642 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-16T11:22:22Z |
| publishDate | 2018-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-f74e6dea0c0c4eb79e9cc80b745b66422022-12-21T22:33:27ZengDe GruyterOpen Mathematics2391-54552018-12-011611478148210.1515/math-2018-0115math-2018-0115On further refinements for Young inequalitiesFuruichi Shigeru0Moradi Hamid Reza1Department of Information Science, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo, 156-8550, JapanYoung Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, IranIn this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality. Secondly, we give an additive result, which improves a well-known inequality due to Tominaga. We also provide some estimates for the difference A1/2(A−1/2BA−1/2)vA1/2-{(1-v)A + vB} for v∉[ 0,1].https://doi.org/10.1515/math-2018-0115operator inequalityyoung inequalityweighted arithmetic and geometric meanpositive operator47a6326d0747a60 |
| spellingShingle | Furuichi Shigeru Moradi Hamid Reza On further refinements for Young inequalities Open Mathematics operator inequality young inequality weighted arithmetic and geometric mean positive operator 47a63 26d07 47a60 |
| title | On further refinements for Young inequalities |
| title_full | On further refinements for Young inequalities |
| title_fullStr | On further refinements for Young inequalities |
| title_full_unstemmed | On further refinements for Young inequalities |
| title_short | On further refinements for Young inequalities |
| title_sort | on further refinements for young inequalities |
| topic | operator inequality young inequality weighted arithmetic and geometric mean positive operator 47a63 26d07 47a60 |
| url | https://doi.org/10.1515/math-2018-0115 |
| work_keys_str_mv | AT furuichishigeru onfurtherrefinementsforyounginequalities AT moradihamidreza onfurtherrefinementsforyounginequalities |