| Preface | 第1-6页 |
| Abstract in Chinese | 第6-7页 |
| Abstract in English | 第7-9页 |
| Signs | 第9-10页 |
| Chapter Ⅰ K-Convexity, K-Smoothness and Their Relationship | 第10-24页 |
| 1．1 Concepts | 第10-11页 |
| 1．2 K-Uniform Convexity | 第11-18页 |
| 1．3 K-Uniform Smoothness | 第18-22页 |
| 1．4 The relationship between K-Convexity and K-Smoothness | 第22-24页 |
| Chapter Ⅱ Near-Convexity, Near-Smoothness and Their Relationship | 第24-30页 |
| 2．1 Non-compact Measure | 第24页 |
| 2．2 Some Definitions | 第24-25页 |
| 2．3 Near-Convexity | 第25-27页 |
| 2．4 Near-Smoothness | 第27-28页 |
| 2．5 The Relationship Between Near-Convexity and Near-Smoothness | 第28-30页 |
| Chapter Ⅲ The Relationship of K-Smoothness and Near-Smoothness | 第30-31页 |
| 3．1 K-Convexity and Near-Convexity | 第30页 |
| 3．2 K-Smoothness and Near-Smoothness | 第30-31页 |
| Chapter Ⅳ Uniform Extreme Smoothness and Near-Smoothness | 第31-35页 |
| 4．1 Concepts | 第31页 |
| 4．2 A Necessary and Sufficient Condition of Uniformly Extreme Smoothness | 第31-33页 |
| 4．3 The Relationship Between Extreme Smoothness and Near-Smoothness | 第33-35页 |
| Reference | 第35-37页 |
| Acknowledgments | 第37页 |
