Convex Hulls and Extreme Points of Some Families of Univalent Functions

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

Convex and Starlike Univalent Functions

Distributions of Points and Large Convex Hulls of k Points

We consider a variant of Heilbronn’s triangle problem by asking for fixed integers d, k ≥ 2 and any integer n ≥ k for a distribution of n points in the d-dimensional unit cube [0, 1] such that the minimum volume of the convex hull of k points among these n points is as large as possible. We show that there exists a configuration of n points in [0, 1], such that, simultaneously for j = 2, . . . ...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Convex hulls of more-part Sperner families

The convex hulls of more-part Sperner families is defined and studied. Corollaries of the results are some well-known theorems on 2 or 3-part Sperner families. Some methods are presented giving new theorems.