Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means
In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as we...
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| Format: | Article |
| Language: | English |
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University of Extremadura
2019-06-01
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| Series: | Extracta Mathematicae |
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| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/68 |
| _version_ | 1818917645430292480 |
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| author | Sever Dragomir |
| author_facet | Sever Dragomir |
| author_sort | Sever Dragomir |
| collection | DOAJ |
| description | In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well. |
| first_indexed | 2024-12-20T00:37:22Z |
| format | Article |
| id | doaj.art-f00af7babbe249df8983a4c667834e46 |
| institution | Directory Open Access Journal |
| issn | 0213-8743 2605-5686 |
| language | English |
| last_indexed | 2024-12-20T00:37:22Z |
| publishDate | 2019-06-01 |
| publisher | University of Extremadura |
| record_format | Article |
| series | Extracta Mathematicae |
| spelling | doaj.art-f00af7babbe249df8983a4c667834e462022-12-21T19:59:43ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862019-06-01341Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator meansSever Dragomir0Mathematics, College of Engineering & Science, Victoria University PO Box 14428, Melbourne City, MC 8001, Australia; School of Computer Science & Applied Mathematics, University of the Witwatersrand Private Bag 3, Johannesburg 2050, South AfricaIn this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumption for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.https://publicaciones.unex.es/index.php/EM/article/view/68Young’s inequalityconvex functionsarithmetic mean-Harmonic mean inequalityoperator meansoperator inequalities |
| spellingShingle | Sever Dragomir Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means Extracta Mathematicae Young’s inequality convex functions arithmetic mean-Harmonic mean inequality operator means operator inequalities |
| title | Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| title_full | Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| title_fullStr | Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| title_full_unstemmed | Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| title_short | Upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| title_sort | upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means |
| topic | Young’s inequality convex functions arithmetic mean-Harmonic mean inequality operator means operator inequalities |
| url | https://publicaciones.unex.es/index.php/EM/article/view/68 |
| work_keys_str_mv | AT severdragomir upperandlowerboundsforthedifferencebetweentheweightedarithmeticandharmonicoperatormeans |