Classes of analytic functions subordinate to convex functions and extreme points

Subclasses of Univalent Functions Subordinate to Convex Functions

In this paper, we define a new subclass Ao(A, B) of univalent functions and investigate several interesting characterization theorems involving a general class S" [A, B] of starlike functions

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

On Sandwich theorems for certain classes of analytic functions

The purpose of this present paper is to derive some subordination and superordination results for certain analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

Classes of Analytic Functions Related to a Combination of Two Convex Functions

In the paper we introduce classes of functions related to a class of linear combinations of two convex functions. By using properties of multivalent prestarlike functions we obtain various inclusion relationships between defined classes of functions. Some applications of the main results are also considered. Mathematics subject classification (2010): 30C45, 30C50, 30C55.

Classes of Convex Functions

We investigate a family that connects various subclasses of functions convex in the unit disk. We also look at generalized sequences for this family.