On uniformly convex functions
Volume 56 / 1991
Annales Polonici Mathematici 56 (1991), 87-92
DOI: 10.4064/ap-56-1-87-92
Abstract
We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
