Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628595 | Applied Mathematics and Computation | 2013 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Michael Th. Rassias, Bicheng Yang,