A multiple more accurate Hardy-Littlewood-Polya inequality

  • Qiliang Huang
  • Bicheng Yang
  • Lokenath Debnath
Keywords: Hilbert inequality, H-L-P inequality, Weight coefficient, Euler-Maclaurin’s summation formula

Abstract

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.

Published
2012-11-07
Section
Articoli