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On a strengthened Hardy-Hilbert type inequality. (English) Zbl 1297.26044

Summary: We derive a strengthenment of a Hardy-Hilbert type inequality by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively. As applications, some particular results are presented.

MSC:

26D15 Inequalities for sums, series and integrals
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References:

[1] doi:10.1016/j.camwa.2010.05.009 · Zbl 1201.26005 · doi:10.1016/j.camwa.2010.05.009
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