Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means
We present the best possible lower and upper bounds for the Neuman-Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/302635 |
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| _version_ | 1832552647131922432 |
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| author | Tie-Hong Zhao Yu-Ming Chu Bao-Yu Liu |
| author_facet | Tie-Hong Zhao Yu-Ming Chu Bao-Yu Liu |
| author_sort | Tie-Hong Zhao |
| collection | DOAJ |
| description | We present the best possible lower and upper bounds for the Neuman-Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means. |
| format | Article |
| id | doaj-art-6b6af5b926bd412d89521b866813e966 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6b6af5b926bd412d89521b866813e9662025-02-03T05:58:11ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/302635302635Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic MeansTie-Hong Zhao0Yu-Ming Chu1Bao-Yu Liu2Department of Mathematics, Hangzhou Normal University, Hangzhou 313036, ChinaSchool of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, ChinaSchool of Science, Hangzhou Dianzi University, Hangzhou 310018, ChinaWe present the best possible lower and upper bounds for the Neuman-Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.http://dx.doi.org/10.1155/2012/302635 |
| spellingShingle | Tie-Hong Zhao Yu-Ming Chu Bao-Yu Liu Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means Abstract and Applied Analysis |
| title | Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means |
| title_full | Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means |
| title_fullStr | Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means |
| title_full_unstemmed | Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means |
| title_short | Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means |
| title_sort | optimal bounds for neuman sandor mean in terms of the convex combinations of harmonic geometric quadratic and contraharmonic means |
| url | http://dx.doi.org/10.1155/2012/302635 |
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