A multiple more accurate Hardy-Littlewood-Polya inequality

By introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’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.