By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multiple Hilbert-type inequality and the equivalent form are given. We also prove that the same constant factor in the equivalent inequalities is the best possible.
Huang,Q and Yang,B . (2014). On a more accurate multiple Hilbert-type inequality. International Journal of Nonlinear Analysis and Applications, 5(1 (Special Issue)), 71-79. doi: 10.22075/ijnaa.2014.116
MLA
Huang,Q , and Yang,B . "On a more accurate multiple Hilbert-type inequality", International Journal of Nonlinear Analysis and Applications, 5, 1 (Special Issue), 2014, 71-79. doi: 10.22075/ijnaa.2014.116
HARVARD
Huang Q, Yang B. (2014). 'On a more accurate multiple Hilbert-type inequality', International Journal of Nonlinear Analysis and Applications, 5(1 (Special Issue)), pp. 71-79. doi: 10.22075/ijnaa.2014.116
CHICAGO
Q Huang and B Yang, "On a more accurate multiple Hilbert-type inequality," International Journal of Nonlinear Analysis and Applications, 5 1 (Special Issue) (2014): 71-79, doi: 10.22075/ijnaa.2014.116
VANCOUVER
Huang Q, Yang B. On a more accurate multiple Hilbert-type inequality. IJNAA. 2014;5(1 (Special Issue)):71-79. doi: 10.22075/ijnaa.2014.116
International Journal of Nonlinear Analysis and Applications