Some new extensions on Hilbert’s integral inequality and its applications
Shi Yanping ♦ Mihaly Bencze ♦ Gao Mingzhe
We give some new extensions and refinements of Hilbert’s integral inequality with parameters λ and μ 0 < μ ≤ 2, 0 <
a proper weight function. As applications, some extensions and strengthened results of Widder’s theorem and Hardy- Littlewood’s theorem are also given.
Bencze, Mihaly, Mingzhe, Gao, Yanping, Shi