Refinements of Bounds for Neuman Means
We present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/354132 |
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| _version_ | 1849434730353655808 |
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| author | Yu-Ming Chu Wei-Mao Qian |
| author_facet | Yu-Ming Chu Wei-Mao Qian |
| author_sort | Yu-Ming Chu |
| collection | DOAJ |
| description | We present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman. |
| format | Article |
| id | doaj-art-e40bb7dbc6734c22b8182cda2c8d53b4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e40bb7dbc6734c22b8182cda2c8d53b42025-08-20T03:26:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/354132354132Refinements of Bounds for Neuman MeansYu-Ming Chu0Wei-Mao Qian1School of Mathematics and Computation Science, Hunan City University, Yiyang 413000, ChinaSchool of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, ChinaWe present the sharp bounds for the Neuman means SHA, SAH, SCA and SAC in terms of the arithmetic, harmonic, and contraharmonic means. Our results are the refinements or improvements of the results given by Neuman.http://dx.doi.org/10.1155/2014/354132 |
| spellingShingle | Yu-Ming Chu Wei-Mao Qian Refinements of Bounds for Neuman Means Abstract and Applied Analysis |
| title | Refinements of Bounds for Neuman Means |
| title_full | Refinements of Bounds for Neuman Means |
| title_fullStr | Refinements of Bounds for Neuman Means |
| title_full_unstemmed | Refinements of Bounds for Neuman Means |
| title_short | Refinements of Bounds for Neuman Means |
| title_sort | refinements of bounds for neuman means |
| url | http://dx.doi.org/10.1155/2014/354132 |
| work_keys_str_mv | AT yumingchu refinementsofboundsforneumanmeans AT weimaoqian refinementsofboundsforneumanmeans |