Name
Title | ||
|---|---|---|
A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function |
Abstract | ||
|---|---|---|
In this paper, by applying methods of weight functions and techniques of real analysis, a more accurate multidimensional half-discrete Hilbert's inequality with the best possible constant factor related to the Riemann zeta function is proved. Equivalent forms and some reverses are also obtained. Additionally, we consider the operator expressions with the norms and finally present a corollary related to the non-homogeneous kernel. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.09.040 | Applied Mathematics and Computation |
Keywords | Field | DocType |
accurate multidimensional half-discrete,operator expression,multidimensional half-discrete hilbert-type inequality,weight function,equivalent form,possible constant factor,non-homogeneous kernel,riemann zeta function,real analysis,gamma function | Explicit formulae,Riemann zeta function,Mathematical analysis,Digamma function,Particular values of Riemann zeta function,Riemann Xi function,Arithmetic zeta function,Riemann hypothesis,Gauss–Kuzmin–Wirsing operator,Mathematics | Journal |
Volume | ISSN | Citations |
225, | 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 |