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math.CA2013★ 1 cited
A Short Proof of Stirling's Formula
Hongwei Lou
By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.
math.CA2013
Sharp Constants for Inequalities of Poincaré Type: An Application of Optimal Control Theory
Hongwei Lou
Sharp constants for an inequality of Poincaré type is studied. The problem is solved by using optimal control theory.
math.CA2011
The Proof of Alzer's Conjecture on Generalized Logarithmic Mean
Hongwei Lou, Dongdi Liu
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 inv…