Refined Bohr inequalities for certain classes of functions: analytic, univalent, and convex

IF 0.5 4区数学 Q3 MATHEMATICS

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques Pub Date : 2023-06-09 DOI:10.4153/s0008439523000474

S. Ahammed, M. B. Ahamed

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引用次数: 1

Abstract

In this article, we prove several refined versions of the classical Bohr inequality for the class of analytic self-mappings on the unit disk

$ \mathbb {D} $

, class of analytic functions

$ f $

defined on

$ \mathbb {D} $

such that

$\mathrm {Re}\left (f(z)\right )<1 $

, and class of subordination to a function g in

$ \mathbb {D} $

. Consequently, the main results of this article are established as certainly improved versions of several existing results. All the results are proved to be sharp.

查看原文本刊更多论文

某些函数类的精炼玻尔不等式:解析函数、一元函数和凸函数

本文证明了单位磁盘$\ mathbb {D} $上的解析自映射类、$\ mathbb {D} $上定义的解析函数类$ f $使得$\ mathbb {Re}\左(f(z)\右)、$\ mathbb {D} $中隶属于函数g的类的经典玻尔不等式的几个改进版本。因此，本文的主要结果被确定为几个现有结果的改进版本。所有结果都被证明是尖锐的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The Canadian Mathematical Bulletin was established in 1958 to publish original, high-quality research papers in all branches of mathematics and to accommodate the growing demand for shorter research papers. The Bulletin is a companion publication to the Canadian Journal of Mathematics that publishes longer papers. New research papers are published continuously online and collated into print issues four times each year. To be submitted to the Bulletin, papers should be at most 18 pages long and may be written in English or in French. Longer papers should be submitted to the Canadian Journal of Mathematics. Fondé en 1958, le Bulletin canadien de mathématiques (BCM) publie des articles d’avant-garde et de grande qualité dans toutes les branches des mathématiques, de même que pour répondre à la demande croissante d’articles scientifiques plus brefs. Le BCM se veut une publication complémentaire au Journal canadien de mathématiques, qui publie de longs articles. En ligne, il propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés quatre fois par année. Les textes présentés au BCM doivent compter au plus 18 pages et être rédigés en anglais ou en français. C’est le Journal canadien de mathématiques qui reçoit les articles plus longs.