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一个Schur凸性判定定理的应用

, PP. 345-348

Keywords: 控制,Schur凸性,不等式,加权平均,判定定理

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Abstract:

给出了控制理论中非对称凸集D={x∈Rnx1≥…≥xn}上的Schur凸函数判定定理的4个应用1)证明了一个代数不等式,2)推广了一个平均值不等式,3)确定了一类加权平均的Schur凹性,4)验证了一个积函数Schur凸的充分必要条件.

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