非中心差商收敛性与可导性

摘要

引入非中心差商极限概念，讨论了非中心差商极限存在与可导的关系，以及对称导数在研究函数性质方面的一些应用．%The relation between noncentral difference quotients convergence and derivative was discussed by drawing the concept of noncentral difference quotients convergence in this paper．Furthermore，some applications in studying functions was discussed by applying symmetric derivatives theories．