Title | ||
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Inequalities and completely monotonic functions associated with the ratios of functions resulting from the gamma function |
Abstract | ||
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We prove that some functions associated with the products ¿ k = 1 n 2 k - 1 2 k , ¿ k = 1 n 3 k - 2 3 k - 1 , ¿ k = 1 n 3 k - 2 3 k and ¿ k = 1 n 3 k - 1 3 k are completely monotonic. By using the results obtained, we derive some inequalities for the previous products. Our results improve some known inequalities. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1016/j.amc.2015.03.020 | Applied Mathematics and Computation |
Keywords | Field | DocType |
asymptotic expansion,completely monotonic functions,gamma function,inequality | Monotonic function,Discrete mathematics,Asymptotic expansion,Gamma function,Mathematics | Journal |
Volume | Issue | ISSN |
259 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chao-Ping Chen | 1 | 58 | 12.24 |