A generalization of Hilbert's inequality
Classical Analysis and ODEs
2013-10-24 v1
Abstract
In a generalization of the classical Hilbert inequality by Hardy, Littlewood and P\'{o}lya, the best constant for an inequality is determined provided that the generating function for the corresponding matrix satisfies certain monotonicity condition. In this paper, we determine the best constant for a class of inequalities when the monotonicity condition is no longer satisfied.
Cite
@article{arxiv.1310.6106,
title = {A generalization of Hilbert's inequality},
author = {Peng Gao},
journal= {arXiv preprint arXiv:1310.6106},
year = {2013}
}
Comments
9 pages