Certain Subclasses of Convex functions with positive and missing Coefficients by using a fixed point

TL;DR

This paper introduces a new class of univalent convex functions defined via a fixed point in the unit disk, deriving coefficient inequalities, integral operators, and extreme points for this class.

Contribution

It defines a novel class of convex functions using fixed points, providing new coefficient bounds and structural properties.

Findings

Derived coefficient inequalities for the new class

Established integral operators related to the class

Identified extreme points of the class

Abstract

By considering a fixed point in unit disk $\Delta$, a new class of univalent convex functions is defined. Coefficient inequalities, integral operator and extreme points of this class are obtained.