The refinement of Fekete and Szego problems for close-to-convex functions and close-to-quasi-convex mappings

被引：6

作者：

Xu, Qinghua ^{[1
]}

Jiang, Ting ^{[1
]}

Liu, Taishun ^{[2
]}

机构：

[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期

关键词：

Fekete and Szego problem; Close-to-quasi-convex mapping of type B; Close-to-convex function; k-fold symmetric;

D O I：

10.1016/j.jmaa.2023.127428

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define the subclass Ck +1 of close-to-convex functions on the unit disk U in C, for which we use a condition weaker than the class of k-fold symmetric close-to-convex functions introduced by Koepf in [9]. Next, we establish the Fekete and Szego inequality for the class Ck+1, and then we extend this result to the unit ball of a complex Banach space. The results presented here generalize some classical results. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：11

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