The Proof of Alzer's Conjecture on Generalized Logarithmic Mean
  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. 
Hongwei Lou and Dongdi Liu
math.CA