Approximation in the mean by convex functions |
| |
| Authors: | R. Huotari D. Zwick |
| |
| Affiliation: | 1. Department of Mathematics , Idaho State University ,;2. Department of Mathematics , University of Vermont , |
| |
| Abstract: | We give elementary proofs for the existence and uniqueness of the best L1-approximation to a continuous function from the class of convex functions on a closed interval, and describe thebest approximation in terms of certain piecewise linear functions. |
| |
| Keywords: | Optimal control variational inequalities approximating method 49A29 49B22 49D15 |
|
|
