摘要
本文通过引入独立参数λ与α,应用改进的Euler-Maclaurin公式,优化了权系数的估算方法,建立一个具有最佳常数因子的较为精密的Hilbert型不等式.作为应用,考虑了等价式及一些特殊情形将有助于估算及建立同类型的其它不等式.
In this paper, by introducing two independent parameters λ and α, and using the improved Euler-Maclaurin＇s summation formula, the estimating way of weight coefficient is optimized, and a more accurate Hilbert type inequality with a best constant factor is established. As applications, one also considers the equivalent form and some particular results. The way of this paper provides some new estimates on this type of inequalities.
出处
《数学杂志》
CSCD
北大核心
2007年第6期673-678,共6页
Journal of Mathematics
基金
广东高校自然科学基金(0177)
广东教育学院教授博士专项基金(2004年)
