关于k-折对称点的近于凸函数和拟凸函数子类的邻域

基金项目:

国家教育委员会博士点基金资助项目

详细信息

On the neighborhoods of certain subclasses of close-to-convex and quasi-convex

摘要: 研究了关于 $k$ -折对称点的近于凸函数和拟凸函数子类的邻域。对于 ${\mathcal S_{s,\ n}^{(k)}}[A, B]$ 或者 ${\mathcal C_{s,\ n}^{(k)}}[A, B]$ 中的函数 $f$ , 得到了使得所有函数 $g\in{\mathcal N_{\delta}}(f)$ 包含在 ${\mathcal S_{s,\ n}^{(k)}}[A, B]$ 内的充分条件，且 $\delta$ 是最好的可能。
- 单叶函数 /
- 近于凸函数 /
- 拟凸函数 /
- Hadamard 乘积 /
- k-折对称点 /
- delta-邻域.
Abstract: The neighborhoods of certain subclasses of close-to-convex and quasi-convex functions with respect to $k$ -symmetric points are studied. If $f$ is in ${\mathcal S_{s,\ n}^{(k)}}[A, B]$ or ${\mathcal C_{s,\ n}^{(k)}}[A, B]$ , some sufficient conditions are established such that all functions $g\in{\mathcal N_{\delta}}(f)$ are included in ${\mathcal S_{s,\ n}^{(k)}}[A, B]$ with this $\delta$ being the best possibility. Some of the results, presented in this paper, generalize and extend the corresponding results existing in some literatures.
- univalent function /
- close-to-convex function /
- quasi-convex function /
- Hadamard product /
- k-symmetric points /
- delta-neighborhood.