Superadditivity

（重定向自Superadditive function）

In mathematics, a sequence { a_n }, n ≥ 1, is called superadditive if it satisfies the inequality

for all m and n. The major reason for the use of superadditive sequences is the following lemma due to Michael Fekete.

Lemma: (Fekete) For every superadditive sequence { a_n }, n ≥ 1, the limit lim a_n/n exists and is equal to sup a_n/n. (The limit may be positive infinity, for instance, for the sequence a_n = log n!.)

单词	Superadditive function
释义	Superadditive function 英语百科 Superadditivity （重定向自Superadditive function） In mathematics, a sequence { a_n }, n ≥ 1, is called superadditive if it satisfies the inequality for all m and n. The major reason for the use of superadditive sequences is the following lemma due to Michael Fekete. Lemma: (Fekete) For every superadditive sequence { a_n }, n ≥ 1, the limit lim a_n/n exists and is equal to sup a_n/n. (The limit may be positive infinity, for instance, for the sequence a_n = log n!.)
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