两个新的可微性概念及应用

Two New Notions of Differentiability and Their Applications

本文引进了连续可微和均匀连续可微两个新的可微性概念。作为应用,我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。

Two new notions of continuous differentiability and uniformly continuous differentiability are introduced in this paper. As to their applications,the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.