【摘要】 本文应用Jensen不等式证明了著名不等式：调和平均值≤几何平均值≤算术平均值．并将该不等式推广至非常一般的形式．文中给出该不等式所表示的概率意义，并用以解释日常生活中的一常见现象．更多还原

【Abstract】 A new prove method and a generalization of the famous inequality "harmonic mean-gemetric mean-arithmetic mean inequality" is given by means of Jensen Inequality in this paper.The probability meaning of geometric mean-arithmetic mean inequality is studied and used to explain a common phenomeron in agriculture.更多还原