The Fekete and Szegő Problem for a Class of Holomorphic Mappings Associated with Starlike Mappings on the Unit Balls of Complex Banach Spaces

In this paper, we first establish a refinement of the coefficient inequality for subordinate functions on the unit disc U in ℂ . Next, as applications of this inequality, we will obtain some refinements of the Fekete and Szegő inequalities for a class of holomorphic mappings associated with starlike...

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Bibliographic Details
Published in:Frontiers of Mathematics 2024, Vol.19 (6), p.1095-1108
Main Authors: Xu, Qinghua, Yang, Xiaohua, Liu, Taishun
Format: Article
Language:English
Subjects:
Banach spaces
Mathematics
Mathematics and Statistics
Research Article
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Summary:In this paper, we first establish a refinement of the coefficient inequality for subordinate functions on the unit disc U in ℂ . Next, as applications of this inequality, we will obtain some refinements of the Fekete and Szegő inequalities for a class of holomorphic mappings associated with starlike mappings and quasi-convex mappings of type B on the unit ball B of a complex Banach space. The results presented here would generalize and improve some recent works of several authors [12, 20, 23].
ISSN:2731-8648
1673-3452
2731-8656
1673-3576
DOI:10.1007/s11464-022-0309-6