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Xu, Qian; Zhou, Meixiu; Zhang, Xiaoming

On a strengthened version of Hardy’s inequality. (English) Zbl 1279.26058

J. Inequal. Appl. 2012, Paper No. 300, 8 p. (2012).
Summary: On the basis of analytic methods and skills, a strengthened version of the well-known Hardy inequality is obtained. In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.

Cited in 3 Documents

MSC:

26D15 Inequalities for sums, series and integrals

Keywords:

inequality; Hardy’s inequality; convex function; Hadamard’s inequality
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References:

[1] doi:10.1155/S0161171299225355 · Zbl 0971.26012 · doi:10.1155/S0161171299225355
[2] doi:10.2140/pjm.1961.11.39 · Zbl 0103.03503 · doi:10.2140/pjm.1961.11.39
[3] doi:10.1006/jmaa.1998.5758 · Zbl 0893.26008 · doi:10.1006/jmaa.1998.5758
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