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Convex Quadratic Approximation

✍ Scribed by J.Ben Rosen; Roummel F. Marcia


Book ID
111577494
Publisher
Springer US
Year
2004
Tongue
English
Weight
101 KB
Volume
28
Category
Article
ISSN
0926-6003

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πŸ“œ SIMILAR VOLUMES


On convex quadratic approximation
✍ Dick Den Hertog; Etienne De Klerk; Kees Roos πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 241 KB
Convex Approximation by Quadratic Spline
✍ Y.K. Hu πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 473 KB

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.

On Convex Approximation by Quadratic Spl
✍ Kamen G. Ivanov; Boyan Popov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 221 KB

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