摘要
用统一且简洁形式刻画、定义了 Banach空间的(局部)k一致凸、k-强凸、w-强凸性. 给出(局部)k一致光滑性概念,并讨论了上述空间的关系及性质.
In this paper, Using uniform and simple form we treat or define (locally) k-uni- formly convex and k-strongly convex and w-strong convex, and give (locally) k-uniform smoothness in Banach space. We discuss the relationship among them and their properties.