GENERALIZED HARDY-HILBERT’S INEQUALITY

TitleGENERALIZED HARDY-HILBERT’S INEQUALITY
Publication TypeJournal Article
Year of Publication2010
AuthorsSUNANDA, SK, NAHAK, C, NANDA, S
Secondary TitleCommunications in Applied Analysis
Volume14
Issue4
Start Page481
Pagination490
Date Published12/2010
Type of Workscientific: mathematics
ISSN1083–2564
AMS26D15
Abstract
In this paper, we have studied some extensions of Hardy-Hilbert’s inequality with an improved weight coefficient. We have also established reverse inequalities of Hardy-Hilbert type inequalities.
URLhttp://www.acadsol.eu/en/articles/14/4/5.pdf
Short TitleGEN. HARDY-HILBERT INEQU.
Refereed DesignationRefereed
Full Text

REFERENCES

[1] G. Das and S. Nanda, Absolute almost convergence, Indian J. Maths, 34 (1992), 99–110.
[2] G. H. Hardy, J. E. Littlewood and G. Polya, “Inequalities,” Cambridge University Press, Cambridge, MA, (1952).
[3] M. Z. Gau, An improvement of Hardy-Reisz’s extension of the Hilbert inequality, J. Math. Res. Exp., 14, 2(1994), 255–259.
[4] S. Simons, The sequence spaces l(p γ ) and m(p v ), Proc. London Math. Soc., 13 (1965), 422–436.
[5] Bicheng Yang and Lokenath Debnath, On new strengthened Hardy-Hilbert’s Inequality, Internat. J. Math. & Math. Sci., Vol. 21, No.2, (1998), 403–408.
[6] Bicheng Yang, On reverse of Hardy-Hilbert type Inequality, J. Inequ. Pure. Appl. Math., Vol. 7, Issue 3, Art. 115. (2006).
[7] Bicheng Yang, A refinement on the general Hilbert’s double series theorem, J. Math. Study, Vol. 29, No.2, (1996), 64–70.
[8] Bicheng Yang and M. Z. Gau, On a best value of Hardy-Hilbert’s Inequality, Advances in Math., 26, 2(1997), 159–164.