On a more accurate multiple Hilbert-type inequality

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.

کلیدواژه ها:

Multiple Hilbert-Type Inequality ، weight coefficient ، Euler-Maclaurin’s Summation Formula