Fekete’s引理的推广

Extension of Fekete’s Lemma

Fekete’s超可加引理在数学的很多领域中都扮演着非常重要的角色.为了更好地运用超可加引理,通过加强引理的条件--添加扰动项,利用二进展开、极限等方法推广了Fekete’s超可加引理,推广后的定理适用于更广的数列或函数.

Fekete’s lemma of super-additive plays an important role in many fields of mathematics. In order to use the lemma of super-additive, the Fekete’s lemma of super-additive is generalized by strengthening the condition of the lemma-adding perturbation term, using methods of dyadic expansion and limit, and the extended theorem can be applied to a wider range of sequences or functions.