郭栋, 李宗涛. 一类解析函数的fekete-szego 不等式[J]. 华南师范大学学报(自然科学版), 2017, 49(3): 114-116.
引用本文: 郭栋, 李宗涛. 一类解析函数的fekete-szego 不等式[J]. 华南师范大学学报(自然科学版), 2017, 49(3): 114-116.
Zong-Tao LI. THE fekete-szego Inequality for a Subclass of analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(3): 114-116.
Citation: Zong-Tao LI. THE fekete-szego Inequality for a Subclass of analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(3): 114-116.

一类解析函数的fekete-szego 不等式

THE fekete-szego Inequality for a Subclass of analytic Functions

  • 摘要: 利用微分从属构造了解析函数类 ,其中 . 利用施瓦兹函数的 不等式,得到了该函数类上的 及 的精确估计: ,并给出了相应的极值函数,其结果推广了已有的结论.

     

    Abstract: By making differential subordination, a new function of is introduced, among them, . By using inequality of Schwarts function, if , ,then and for all the following bound is sharp . The extremal function of is given, some existing results are expanded by the conclusion of this article.

     

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