Name
Abstract | ||
|---|---|---|
In this paper we provide an application of the Euler-Maclaurin summation formula with the Bernoulli function for the proof of a strengthened version of the half-discrete Hilbert inequality with the best constant factor in terms of the Euler-Mascheroni constant. Some equivalent numerical representations, operator representations, two kinds of reverses as well as an extension in terms of parameters and the Beta function are also studied. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.06.010 | Applied Mathematics and Computation |
Keywords | Field | DocType |
euler-maclaurin summation formula,constant factor,bernoulli function,beta function,strengthened version,operator representation,half-discrete hilbert inequality,equivalent numerical representation,weight function,euler mascheroni constant | Euler summation,Beta function,Mathematical analysis,Constant function,Riemann Xi function,Euler product,Riemann hypothesis,Mathematics,Euler–Mascheroni constant,Bernoulli's principle | Journal |
Volume | ISSN | Citations |
220, | 0096-3003 | 3 |
PageRank | References | Authors |
0.88 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Th. Rassias | 1 | 11 | 5.24 |
| Bicheng Yang | 2 | 7 | 5.23 |