Approximate convex functions. (English) Zbl 1033.49029
A new class of functions, “approximate convex functions”, which includes the convex functions, is studied. The functions of this class have some relaxed characterizations of convexity with a potential in applications.
Reviewer: Qiji Zhu (Kalamazoo)
MSC:
| 49J52 | Nonsmooth analysis |
| 26B25 | Convexity of real functions of several variables, generalizations |
| 52A41 | Convex functions and convex programs in convex geometry |
| 90C26 | Nonconvex programming, global optimization |
