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Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean
The authors find the greatest value λ and the least value μ, such that the double inequality [Formula: see text] holds for all α ∈ (0,1) and a, b > 0 with a ≠ b, where [Formula: see text] , A(a, b) = (a + b)/2, and [Formula: see text] denote, respectively, the centroidal, arithmetic, and Toader m...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2013
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3819953/ https://www.ncbi.nlm.nih.gov/pubmed/24470793 http://dx.doi.org/10.1155/2013/842542 |
| _version_ | 1782290068401029120 |
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| author | Jiang, Wei-Dong |
| author_facet | Jiang, Wei-Dong |
| author_sort | Jiang, Wei-Dong |
| collection | PubMed |
| description | The authors find the greatest value λ and the least value μ, such that the double inequality [Formula: see text] holds for all α ∈ (0,1) and a, b > 0 with a ≠ b, where [Formula: see text] , A(a, b) = (a + b)/2, and [Formula: see text] denote, respectively, the centroidal, arithmetic, and Toader means of the two positive numbers a and b. |
| format | Online Article Text |
| id | pubmed-3819953 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-38199532014-01-27 Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean Jiang, Wei-Dong ScientificWorldJournal Research Article The authors find the greatest value λ and the least value μ, such that the double inequality [Formula: see text] holds for all α ∈ (0,1) and a, b > 0 with a ≠ b, where [Formula: see text] , A(a, b) = (a + b)/2, and [Formula: see text] denote, respectively, the centroidal, arithmetic, and Toader means of the two positive numbers a and b. Hindawi Publishing Corporation 2013-10-22 /pmc/articles/PMC3819953/ /pubmed/24470793 http://dx.doi.org/10.1155/2013/842542 Text en Copyright © 2013 Wei-Dong Jiang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Research Article Jiang, Wei-Dong Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title | Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title_full | Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title_fullStr | Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title_full_unstemmed | Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title_short | Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean |
| title_sort | bounds for combinations of toader mean and arithmetic mean in terms of centroidal mean |
| topic | Research Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3819953/ https://www.ncbi.nlm.nih.gov/pubmed/24470793 http://dx.doi.org/10.1155/2013/842542 |
| work_keys_str_mv | AT jiangweidong boundsforcombinationsoftoadermeanandarithmeticmeanintermsofcentroidalmean |