On a more accurate multiple Hilbert-type inequality

Document Type : Research Paper


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


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.


  • Receive Date: 18 March 2013
  • Revise Date: 06 February 2014
  • Accept Date: 11 February 2014