| 关于k-折对称点的近于凸函数和拟凸函数子类的邻域 |
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| 引用本文： | 刘名生,黄蕥媛. 关于k-折对称点的近于凸函数和拟凸函数子类的邻域[J]. 华南师范大学学报(自然科学版), 2012, 44(1): 14-0 |
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| 作者姓名： | 刘名生 黄蕥媛 |
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| 作者单位： | 1.华南师范大学数学科学学院 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金项目(20050574002) |
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| 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$gin{mathcal N_{delta}}(f)$包含在 ${mathcal S_{s, n}^{(k)}}[A, B]$内的充分条件，且 $delta$ 是最好的可能。
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| 关 键 词： | 单叶函数 近于凸函数 拟凸函数 Hadamard 乘积 k-折对称点 delta-邻域. |
| 收稿时间： | 2011-02-21 |
On the Neighborhoods of Certain Subclasses of Close-to-Convexand Quasi-Convex Functions with Respect to k-Symmetric Points |
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| LIU Mingsheng,HUANG Yayuan. On the Neighborhoods of Certain Subclasses of Close-to-Convexand Quasi-Convex Functions with Respect to k-Symmetric Points[J]. Journal of South China Normal University(Natural Science Edition), 2012, 44(1): 14-0 |
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| Authors: | LIU Mingsheng HUANG Yayuan |
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| Affiliation: | (School of Mathematics,South China Normal University,Guangzhou 510631,China) |
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| 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 S(k)s,n [A,B] or C(k)s,n[A,B],some sufficient conditions are established such that all functions g∈Nδ(f) are included in S(k)s,n [A,B] with this δ being the best possibility. |
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| Keywords: | univalent function close-to-convex function quasi-convex function Hadamard product k-symmetric points δ-neighborhood |
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