On a Result of Levin and Stečkin
The following inequality for 0<p<1 and an≥0 originates from a study of Hardy, Littlewood, and Pólya: ∑n=1∞((1/n)∑k=n∞ak)p≥cp∑n=1∞anp. Levin and Stečkin proved the previous inequality with the best constant cp=(p/(1-p))p for 0<p≤1/3. In this paper, we extend the result of Levin and Stečkin t...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/534391 |