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车贝契夫不等式(车贝契夫不等式) - 简单百科
车贝契夫不等式
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正文

车贝契夫不等式有两个

(1)设存在数列a1,a2,a3.....an和b1,b2,b3......bn满足a1≤a2≤a3≤.....≤an和b1≤b2≤b3≤......≤bn

那么,∑AIBI≥(1/n)(∑ai)(∑bi)

(2)设存在数列a1,a2,a3.....an和b1,b2,b3......bn满足a1≤a2≤a3≤.....≤an和b1≥b2≥b3≥......≥bn

那么,∑aibi≤(1/n)(∑ai)(∑bi)

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