Arithmetie—Geometrie不等式的两种新证法

摘要

给出了Arithmetie—Geometrie不等式凸函数证法，同时又给出并证明了无穷形式的Arithmetie—Geometrie不等式问题，进而得出了其概率证法，推广了目前该类不等式的主要结果.%In this paper, we discuss the Arithmetie-Geometrie inequation and give two new proofs of Arithmetie-Geometrie inequation.