References

ON THE HILBERT INEQUALITY AND ITS APPLICATIONS


[1] Yang Bicheng and Themistocles M. Rassias, On the way of weight coefficient and research for the Hilbert type inequalities, Math. Inequal. & Appl. 6(4) (2003), 625-658.

[2] Yang Bicheng, On the best extensions of Hardy-Hilbert inequality with two parameters, J. Pure Appl. Math. 6(3) (2005), Article 81.

[3] G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, Cambridge, U. K., 1952.

[4] Hu Ke, On Hilbert’s inequality and its applications, Advances in Mathematics 22(2) (1993), 160-163.

[5] Gao Mingzhe, A note on the Hardy-Hilbert inequality, J. Math. Anal. Appl. 204(2) (1996), 346-351.

[6] Gao Mingzhe and Hsu Lizhi, A survey of various refinements and generalizations of Hilbert’s inequalities, Journal of Mathematical Research and Exposition 25(2) (2005), 227-243.

[7] Gao Mingzhe, A new Hardy-Hilbert’s type inequality for double series and its applications, The Australian J. Math. Anal. & Appl. 3(1) (2006), Article 13.

[8] Jia Weijian and Gao Mingzhe, An extended Hardy-Hilbert inequality and its applications, JIPAM 7(1) (2006), Article 30.

[9] O. V. Widder, An inequality related to Hilbert’s inequalities, J. London Math. Soc. 4 (1924), 194-198.