摘要
引入单参数λ,利用β函数,建立了一个新的Hardy-Hilbert不等式.作为应用,考虑了相应的等价形式.用类似方法给出了重级数形式的Hardy-Hilbert不等式的推广.特别地,当λ=1时,得到经典的Hardy-Hilbert不等式.所得结果及其所提供的方法将对同类问题的研究起到有益的借鉴作用.
In this paper,a new Hardy-Hilbert inequality is established by introducting a parameter λ and using the β function.In application,its equivalent form is considered.Similarly,the generalized formula corresponding to the double series is given.In particular,in case λ=1 the classical Hardy-Hilbert inequality is obtained.The results and the way in this paper provide an extensive amount of help for this type of inequalities.
出处
《青岛理工大学学报》
CAS
2010年第2期107-111,共5页
Journal of Qingdao University of Technology
基金
国家自然科学基金资助项目(60674020)
