# Integral means inequalities, convolution, and univalent functions

## TL;DR

This paper explores inequalities related to integral means of convolutions of analytic functions within the unit disc, utilizing the Baernstein star-function and univalent function theory.

## Contribution

It introduces new methods for analyzing integral means inequalities using the Baernstein star-function in the context of univalent functions.

## Key findings

- Established new inequalities for integral means of convolutions.
- Applied the Baernstein star-function to problems in univalent function theory.
- Enhanced understanding of convolution behavior in analytic functions.

## Abstract

We use the Baernstein star-function to investigate several questions about the integral means of the convolution of two analytic functions in the unit disc. The theory of univalent functions plays a basic role in our work.