Wang, Weihong; Yang, Bicheng A strengthened Hardy-Hilbert’s type inequality. (English) Zbl 1167.26326 Aust. J. Math. Anal. Appl. 3, No. 2, Article No. 17, 1-7 (2006). Summary: By using the improved Euler-Maclaurin’s summation formula and estimating the weight coefficient, we give a new strengthened version of the more accurate Hardy-Hilbert’s type inequality. As applications, a strengthened version of the equivalent form is considered. Cited in 4 Documents MSC: 26D15 Inequalities for sums, series and integrals 33B15 Gamma, beta and polygamma functions Keywords:Hardy-Hilbert’s type inequality; weight coefficient; Hölder’s inequality PDFBibTeX XMLCite \textit{W. Wang} and \textit{B. Yang}, Aust. J. Math. Anal. Appl. 3, No. 2, Article No. 17, 1--7 (2006; Zbl 1167.26326) Full Text: Link