On new strengthened Hardy-Hilbert's inequality

Bicheng Yang and Lokenath Debnath

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

Abstract:

In this paper, a new inequality for the weight coefficient ω ( q , n ) in the form ω ( q , n ) : = ∑ m = 1 ∞ 1 m + n ( n m ) 1 / q < π sin ( π / p ) − 1 2 π 1 / p + n − 1 / q ( q > 1 , 1 p + 1 q = 1 , n ∈ N ) is proved. This is followed by a strengthened version ofthe Hardy-Hilbert inequality.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:854323

DOI: 10.1155/S0161171298000556

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