creative_2010_19_2_227_234_001

Some new extensions on Hilbert’s integral inequality and its applications


Shi YanpingMihaly BenczeGao Mingzhe


Abstract

creative_2010_19_2_227_234_abstract

Full PDF

creative_2010_19_2_227_234

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.

As

Additional Information

Author(s)

Bencze, Mihaly, Mingzhe, Gao, Yanping, Shi