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On new strengthened Hardy-Hilbert's inequality

In this paper, a new inequality for the weight coefficient ω(q,n) in the form ω(q,n):=∑m=1∞1m+n(nm)1/q              <πsin(π/p)−12π1/p+n−1/q(q>1,1p+1q=1,n∈N) is proved. This is followed by a strengthened version ofthe Hardy-Hilbert inequality.

Sábháilte in:
Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Bicheng Yang, Lokenath Debnath
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: Wiley 1998-01-01
Sraith:International Journal of Mathematics and Mathematical Sciences
Ábhair:
Rochtain ar líne:http://dx.doi.org/10.1155/S0161171298000556
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