๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Polynomial and spline approximation by quadratic programming

โœ Scribed by Amos, D. E.; Slater, M. L.


Book ID
118009767
Publisher
Association for Computing Machinery
Year
1969
Tongue
English
Weight
254 KB
Volume
12
Category
Article
ISSN
0001-0782

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Convex Approximation by Quadratic Spline
โœ Y.K. Hu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

Copositive Polynomial and Spline Approxi
โœ Y.K. Hu; D. Leviatan; X.M. Yu ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 439 KB

We prove that if a function \(f \in \mathbb{C}[0,1]\) changes sign finitely many times, then for any \(n\) large enough the degree of copositive approximation to \(f\) by quadratic spliners with \(n-1\) equally spaced knots can be estimated by \(C \omega_{2}(f, 1 / n)\), where \(C\) is an absolute c

On Convex Approximation by Quadratic Spl
โœ Kamen G. Ivanov; Boyan Popov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Approximating quadratic NURBS curves by
โœ D.S. Meek; D.J. Walton ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 447 KB

When a quadratic NURBS curve is used to describe the path of a computer-controlled cuttin9 machine, the NURBS curve is usually approximated by many straight-line segments. It is preferable to describe the cutting path as an arc spline, a tangent-continuous, piecewise curve made of circular arcs and