Optimal Bounds for Seiffert Mean in terms of One-Parameter Means
The authors present the greatest value r1 and the least value r2 such that the double inequality Jr1(a, b)<T(a, b)<Jr2(a, b) holds for all a, b>0 with a≠b, where T(a, b) and Jp(a, b) denote the Seiffert and pth one-parameter means of two positive numbers a and b, respectively.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/917120 |
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doaj-dccd009ef63b4cb887ccd058337a6e102020-11-25T00:17:56ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/917120917120Optimal Bounds for Seiffert Mean in terms of One-Parameter MeansHua-Nan Hu0Guo-Yan Tu1Yu-Ming Chu2Acquisitions & Cataloging Department of Library, Huzhou Teachers College, Huzhou 313000, ChinaDepartment of Basic Course Teaching, Tongji Zhejiang College, Jiaxing 314000, ChinaDepartment of Mathematics, Huzhou Teachers College, Huzhou 313000, ChinaThe authors present the greatest value r1 and the least value r2 such that the double inequality Jr1(a, b)<T(a, b)<Jr2(a, b) holds for all a, b>0 with a≠b, where T(a, b) and Jp(a, b) denote the Seiffert and pth one-parameter means of two positive numbers a and b, respectively.http://dx.doi.org/10.1155/2012/917120 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hua-Nan Hu Guo-Yan Tu Yu-Ming Chu |
| spellingShingle |
Hua-Nan Hu Guo-Yan Tu Yu-Ming Chu Optimal Bounds for Seiffert Mean in terms of One-Parameter Means Journal of Applied Mathematics |
| author_facet |
Hua-Nan Hu Guo-Yan Tu Yu-Ming Chu |
| author_sort |
Hua-Nan Hu |
| title |
Optimal Bounds for Seiffert Mean in terms of One-Parameter Means |
| title_short |
Optimal Bounds for Seiffert Mean in terms of One-Parameter Means |
| title_full |
Optimal Bounds for Seiffert Mean in terms of One-Parameter Means |
| title_fullStr |
Optimal Bounds for Seiffert Mean in terms of One-Parameter Means |
| title_full_unstemmed |
Optimal Bounds for Seiffert Mean in terms of One-Parameter Means |
| title_sort |
optimal bounds for seiffert mean in terms of one-parameter means |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2012-01-01 |
| description |
The authors present the greatest value r1 and the least value r2 such that the double inequality Jr1(a, b)<T(a, b)<Jr2(a, b) holds for all a, b>0 with a≠b, where T(a, b) and Jp(a, b) denote the Seiffert and pth one-parameter means of two positive numbers a and b, respectively. |
| url |
http://dx.doi.org/10.1155/2012/917120 |
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AT huananhu optimalboundsforseiffertmeanintermsofoneparametermeans AT guoyantu optimalboundsforseiffertmeanintermsofoneparametermeans AT yumingchu optimalboundsforseiffertmeanintermsofoneparametermeans |
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