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Complete membership to Kaplan classes of a certain class of functions
Quaestiones Mathematicae ( IF 0.7 ) Pub Date : 2021-06-15 , DOI: 10.2989/16073606.2021.1927234
Szymon Ignaciuk 1 , Maciej Parol 2
Affiliation  

Abstract

We determine the complete membership to Kaplan classes of a family of functions that can be presented in the form of integral operators I1(f, g; α, β) introduced by Kim and Merkes as well as I2(f, g; α) introduced by Ularu and Breaz. In this way we obtain close-to-convexity criteria for these functions.



中文翻译:

完全隶属于某一类函数的 Kaplan 类

摘要

我们确定了一系列函数的 Kaplan 类的完全成员资格,这些函数可以以 Kim 和 Merkes 引入的积分算子I 1 ( f, g ; α, β ) 以及I 2 ( f, g ; α ) 由 Ularu 和 Breaz 介绍。通过这种方式,我们获得了这些函数的接近凸性标准。

更新日期:2021-06-15
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