关于 Hilbert不等式的一个加强及应用
On a strengthened Hilbert’s inequality and its application
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摘要: 导出如下权系数的不等式ω(n) =∑∞n=11m+n(nm) 1 /2 π-3 52 4(n +n- 1 ) ,n∈ N ,从而建立一个加强的 Hilbert不等式 .作为应用 ,导出一个加强的 Hilbert不等式的等价式Abstract: By deducing the following inequality of the weight coefficient: ω(n)=∞m=11m+n(nm) 1/2 π-3524(n+n -1 ),n∈N, a strengthened Hilbert's inequality is built.As its application,a strengthened equivalent form of Hilbert's inequality is given.
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