On a more accurate multiple Hilbert-type inequality

Authors

Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.

Abstract

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.