期刊论文

中文

数学进展

1000-0917

2009

38

1

44-56

10.11845/sxjz.2009.38.01.0035

Foundation item： Supported by the Scientific Research Fund of Hunan Provincial Education Department（No. 08C118） of People＇s Republic of China. Acknowledgements The first-named author would like to thank Prof. Yue-Ping Jiang and Prof. Qing-Guo Li for their support and encouragement.

本校为其他机构

本文引入了两类新的与k折对称点有关的近于凸和拟凸函数族的子族C~((k))(λ,α,β)和QC~((k))(λ,α,β).给出了这些函数族的系数不等式,积分表达式,包含和从属关系,卷积条件和覆盖定理.所得到的结果推广了一些相关文献的结果,并得到了一些新的结果.

In this paper, we introduce two new subclasses C（κ） （λ,α,β） of close-to-convex functions and QC（κ） （λ,α,β） of quasi-convex functions with respect to k-symmetric points. Such results as inclusion and subordination relationships, coefficient inequalities, integral representations, convolution properties and covering theorems for these classes are proved. The results presented here would provide extensions of those given in a number of earlier...