Title of article :
On a More Accurate Multiple Hilbert-Type Inequality
Author/Authors :
Huang, Qiliang Department of Mathematics - Guangdong University of Education - Guangzhou, China , Yang, Bicheng Department of Mathematics - Guangdong University of Education - Guangzhou, 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.
Foundation item: This work is supported by the National Natural Science Foundation of China
(No.61370186).
Keywords :
Multiple Hilbert-Type Inequality , Weight Coeffcient , Euler-Maclaurin's Summation Formula
Journal title :
Astroparticle Physics
