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arxiv: 1101.4268 · v1 · pith:IAD76KFWnew · submitted 2011-01-22 · 🧮 math.CA

The Proof of Alzer's Conjecture on Generalized Logarithmic Mean

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keywords conjecturealzergeneralizedmeanlogarithmicposedfinallyharmonic
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In 1987, Alzer posed a conjecture on generalized logarithmic mean, which was introduced by Stolarsky in 1975. To prove Alzer's conjecture, Lou posed a conjecture on generalized inverse harmonic mean in 1995. By proving Lou's conjecture, the paper yields Alzer's conjecture finally.

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