【摘要】 本文推广了Ｐｏｌｙａ—Ｓｚｅｇｏ不等式，证明了定理１：设ａ＿１，ａ＿２，…，ａ＿ｎ为一个圆外切ｎ边形的边长，Ａ表示它的面积，则，等式对正ｎ边形成立。其中定理２：设ａ＿１，ａ＿２，…，ａ＿ｎ为一个圆内接ｎ连形的边长，Ａ表示它的面积，则Ａ≤等式对正ｎ边形成。其中。更多还原

【Abstract】 Poya-Szego Inequality has been generalied in this paper.And, We have obtained:Theoreml : Let a₁,a₂,…,a_n be the length of the sides of a circular circumcribed n-sides form, A is area,then ,the equality sign holds if n-sides form is the reqular polygon. （whrer）Theorem 2:Let a₁,a₂,…,a_n be the length of the sides of a circular lnscribed n-sids form ,A is area ,then the equality sign holds if n-sides forms is the regular polygon.（whrer）更多还原