复Banach空间中单位球上B型拟凸映射的系数问题

IF 0.9 3区数学 Q2 MATHEMATICS Mathematica Slovaca Pub Date : 2023-10-01 DOI:10.1515/ms-2023-0089

Ruyu Zhang, Dongling Ouyang, Liangpeng Xiong

{"title":"复Banach空间中单位球上B型拟凸映射的系数问题","authors":"Ruyu Zhang, Dongling Ouyang, Liangpeng Xiong","doi":"10.1515/ms-2023-0089","DOIUrl":null,"url":null,"abstract":"ABSTRACT In this paper, the sharp solutions of Fekete-Szegö problems are provided for class of quasi-convex mappings f 1 of type B and class of quasi-convex mappings f 2 of type B and order α defined on the unit ball in a complex Banach space, respectively, where x = 0 is a zero of order k + 1 of f i ( x ) − x ( i = 1, 2). Compare with some recent works, our main theorems hold without additional restrictive conditions. Also, the proof of our main theorems are more simple than those given in the previous results.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"8 3 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Coefficient Problems of Quasi-Convex Mappings of Type B on the Unit Ball in Complex Banach Spaces\",\"authors\":\"Ruyu Zhang, Dongling Ouyang, Liangpeng Xiong\",\"doi\":\"10.1515/ms-2023-0089\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT In this paper, the sharp solutions of Fekete-Szegö problems are provided for class of quasi-convex mappings f 1 of type B and class of quasi-convex mappings f 2 of type B and order α defined on the unit ball in a complex Banach space, respectively, where x = 0 is a zero of order k + 1 of f i ( x ) − x ( i = 1, 2). Compare with some recent works, our main theorems hold without additional restrictive conditions. Also, the proof of our main theorems are more simple than those given in the previous results.\",\"PeriodicalId\":18282,\"journal\":{\"name\":\"Mathematica Slovaca\",\"volume\":\"8 3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Slovaca\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/ms-2023-0089\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Slovaca","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/ms-2023-0089","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

文摘本文Fekete-Szego问题的尖锐的解决方案提供了一类拟凸映射f 1 B型和类拟凸映射f 2 B型和秩序的α单位球上定义在一个复杂的巴拿赫空间,分别在x = 0是一个零阶k + 1 f (x)−x (i = 1, 2)。与最近的一些工作,我们的主要定理没有额外的限制条件。此外，我们的主要定理的证明比前面的结果更简单。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Coefficient Problems of Quasi-Convex Mappings of Type B on the Unit Ball in Complex Banach Spaces

ABSTRACT In this paper, the sharp solutions of Fekete-Szegö problems are provided for class of quasi-convex mappings f 1 of type B and class of quasi-convex mappings f 2 of type B and order α defined on the unit ball in a complex Banach space, respectively, where x = 0 is a zero of order k + 1 of f i ( x ) − x ( i = 1, 2). Compare with some recent works, our main theorems hold without additional restrictive conditions. Also, the proof of our main theorems are more simple than those given in the previous results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.

期刊最新文献

A new family of copulas based on probability generating functions On nonexistence of D(n)-quadruples Oscillatory and asymptotic behavior of even-order nonlinear differential equations with mixed neutral terms New results for the Marshall-Olkin family of distributions On a solvable four-dimensional system of difference equations