Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean
Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality, , holds for all with are. Here, and denote the...
| Published in: | Abstract and Applied Analysis |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Online Access: | http://dx.doi.org/10.1155/2013/721539 |
| Summary: | Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality, , holds for all with are. Here, and denote the first Seiffert, logarithmic, and weighted generalized Heronian means of two positive numbers and respectively. |
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| ISSN: | 1085-3375 1687-0409 |