On a Strengthened of the More Accurate Hilbert's Inequality

Authors

  • Gaowen Xi

Keywords:

Hilbert's inequality, Weight coefficient, Cauchy’s inequality, Strengthen.

Abstract

By deducing the inequality of weight coefficient:
ω(n)=∑m=0∞1m+n+1(2n+12m+1)12Â<π−56(2n+1+34(2n+1)−1),
where n∈N. We obtain on a strengthened of the more accurate Hilbert's inequality.

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Published

2011-01-30

Issue

Vol. 4 No. 1: (January 2011)

Section

Discrete Mathematics

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How to Cite

On a Strengthened of the More Accurate Hilbert’s Inequality. (2011). European Journal of Pure and Applied Mathematics, 4(1), 83-88. https://www.ejpam.com/index.php/ejpam/article/view/670