Majorization for Starlike and Convex functions with respect to Conjugate points

TL;DR

This paper establishes sharp majorization results for starlike and convex functions concerning conjugate points, extending classical concepts in geometric function theory.

Contribution

It introduces novel sharp majorization theorems for starlike and convex functions with respect to conjugate points, expanding the theoretical framework.

Findings

Sharp majorization results for starlike functions

Sharp majorization results for convex functions

Extension of classical majorization concepts

Abstract

The concept of majorization is now well-known after the beautiful work of MacGregor, and then followed by Campbell in his sequel of papers. In this paper, we establish the sharp majorization results for the starlike and convex functions with respect to the conjugate points.