A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function
Number Theory
2013-08-07 v1
Abstract
In this paper,using methods of weight functions and techniques of real analysis, we provide a multidimensional Hilbert-type integral inequality with a homogeneous kernel of degree 0 as well as a best possible constant factor related to the Riemann zeta function. Some equivalent representations and certain reverses are obtained. Furthermore, we also consider operator expressions with the norm and some particular results.
Cite
@article{arxiv.1308.1264,
title = {A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function},
author = {Michael Th. Rassias and Bicheng Yang},
journal= {arXiv preprint arXiv:1308.1264},
year = {2013}
}