Title | GENERALIZED HARDY-HILBERT’S INEQUALITY |
Publication Type | Journal Article |
Year of Publication | 2010 |
Authors | SUNANDA, SK, NAHAK, C, NANDA, S |
Secondary Title | Communications in Applied Analysis |
Volume | 14 |
Issue | 4 |
Start Page | 481 |
Pagination | 490 |
Date Published | 12/2010 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 26D15 |
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.
|
URL | http://www.acadsol.eu/en/articles/14/4/5.pdf |
Short Title | GEN. HARDY-HILBERT INEQU. |
Refereed Designation | Refereed |
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. |