On convex quadratic approximation
β Scribed by Dick Den Hertog; Etienne De Klerk; Kees Roos
- Book ID
- 108542519
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 241 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0039-0402
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In a recent paper by Hu it is proved that for any convex function f there is a C 1 convex quadratic spline s with n knots that approximates f at the rate of | 3 ( f, n &1 ). The knots of the spline are basically equally spaced. In this paper we give a simple construction of such a spline with equall
Given a convex function \(f\) without any smoothness requirements on its derivatives, we estimate its error of approximation by \(\mathbf{C}^{1}\) convex quadratic splines in terms of \(\omega_{3}(f, 1 / n)\). C 1993 Academic Press, Inc.