考文献] [1]王绵森马知恩.高等数学基础一元函数微积分与无穷级数[M].2版.北京:高等教育出版 社, [2]同济大学数学系.高等数学:上册[M].6版.北京:高等教育出版社,2007:149 [3]上海交通大学数学系微积分课程组.大学数学微积分:上册M.北京:高等教育出版社,2008:175 [4]复旦大学数学系数学分析:上册[M].2版.北京:高等教育出版社,1983:204 [5]韩云瑞,扈志明,张广远.微积分教程:上册[M].2版.北京:清华大学出版社.2006:184 [6]华中科技大学数学系.微积分学:上册M].3版北京:高等教育出版社,2008:137 [7]华东师范大学数学系.数学分析:上册M].4版.北京:高等教育出版社,2010:151 [8]张亚楠,刘长剑.关于凸函数单侧导数的连续性[J].大学数学,2015,31(4):53-54 Some researchs on the convexi LIAO Jun-jun, wUJie (School of Mathmatics and Statistic, Huazhong University of Science and Technology, Wuhan 430074, Abstract: The convex function often plays an important role in many fields of mathematics. It is meaningful to study the analytical properties of the convex function. In these paper, the continu ity of the convex function has been studied. The limit property of the convex function about the end points of the interval has been discussed. A criteria of convex function has been given Key words: continuous function; convex function; left derivative, right derivative12 [参 考 文 献] [1] 王绵 森 马知 恩 .高 等数 学基 础 一 元函 数微 积分 与 无穷 级数 [M].2 版 .北 京 :高 等教 育出 版 社,2010:142. [2] 同济大学数学系.高等数学：上册[M].6 版.北京:高等教育出版社,2007:149. [3] 上海交通大学数学系微积分课程组.大学数学微积分：上册[M].北京:高等教育出版社,2008:175. [4] 复旦大学数学系.数学分析：上册[M].2 版. 北京:高等教育出版社,1983:204 [5] 韩云瑞，扈志明，张广远.微积分教程：上册 [M].2 版.北京:清华大学出版社.2006:184. [6] 华中科技大学数学系.微积分学：上册[M].3 版.北京:高等教育出版社,2008:137. [7] 华东师范大学数学系.数学分析：上册[M].4 版.北京:高等教育出版社,2010:151. [8] 张亚楠，刘长剑. 关于凸函数单侧导数的连续性[J].大学数学，2015，31（4）：53-54. Some Researchs on the Convexity LIAO Jun-jun， WU Jie (School of Mathmatics. and Statistic，Huazhong University of Science and Technology，Wuhan 430074, China) Abstract: The convex function often plays an important role in many fields of mathematics. It is meaningful to study the analytical properties of the convex function. In these paper, the continuity of the convex function has been studied. The limit property of the convex function about the end points of the interval has been discussed. A criteria of convex function has been given. Key words: continuous function; convex function; left derivative; right derivative