Opening book details…
Can I read On the Properties of Convex Functions over Open Sets on EtoBox?
On the Properties of Convex Functions over Open Sets by Drori, Yoel is a scholarly article available to read on EtoBox.
What is On the Properties of Convex Functions over Open Sets about?
We consider the class of smooth convex functions defined over an open convex set. We show that this class is essentially different than the class of smooth convex functions defined over the entire linear space by exhibiting a function that belongs to the former class but cannot be extended to the entire linear space while keeping its properties. We proceed by deriving new properties of the class under consideration, including an inequality that is strictly stronger than the classical Descent Lemma.
- Author
- Drori, Yoel
- Published
- 2018
- Language
- EN