Integral means of analytic mappings by iteration of Janowski functions
K. O. Babalola
TL;DR
This paper investigates the integral means of certain analytic and univalent functions within the unit disk by applying iterative Janowski functions, extending previous methods for estimation.
Contribution
It introduces a novel iterative approach using Janowski functions to estimate integral means of analytic univalent mappings.
Findings
Effective bounds for integral means derived
Extension of Leung's method to iterative Janowski functions
Applicable to a class of univalent functions
Abstract
In this short note we apply certain iteration of the Janowski functions to estimate the integral means of some analytic and univalent mappings of . Our method of proof follows an earlier one due to Leung \cite{YJ}.
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Taxonomy
TopicsAnalytic and geometric function theory · Functional Equations Stability Results · Holomorphic and Operator Theory