On further strengthened Hardy-Hilbert's inequality
We obtain an inequality for the weight coefficient ω(q,n) (q>1, 1/q+1/q=1, n∈ℕ) in the form ω(q,n)=:∑m=1∞(1/(m+n))(n/m)1/q<π/sin(π/p)−1/(2n1/p+(2/a)n−1/q) where 0<a<147/45, as n≥3; 0<a<(1−C)/(2C−1), as n=1,2, and C is an Euler constant. We show a generalization and improvement of...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204205270 |