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A strengthened Hardy-Hilbert’s type inequality. (English) Zbl 1167.26326

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.

MSC:

26D15 Inequalities for sums, series and integrals
33B15 Gamma, beta and polygamma functions
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