%0 Journal Article
%T A multiple more accurate Hardy-Littlewood-Polya inequality
%A Qiliang Huang
%A Bicheng Yang
%A Lokenath Debnath
%J Le Matematiche
%D 2012
%I University of Catania
%X By introducing multi-parameters and conjugate exponents and using Euler-MaclaurinĄ¯s summation formula, we estimate the weight coefficient and prove a multiple more accurate Hardy-Littlewood-Polya (H-L-P) inequality, which is an extension of some earlier published results. We also prove that the constant factor in the new inequality is the best possible, and obtain its equivalent forms.
%K Hilbert inequality
%K H-L-P inequality
%K Weight coefficient
%K Euler-MaclaurinĄ¯s summation formula
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/989