๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Second-Order Property of Spline Functions with One Free Knot

โœ Scribed by H. Kawasaki

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
115 KB
Volume
78
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

โœฆ Synopsis

We are concerned with an approximation problem by polynomial spline functions with one free knot. Our main concern is a second-order property of the problem with respect to the knot. We show that every spline function satisfying Braess's alternation condition is nearly optimal. 1994 Academic Press. Inc.

๐Ÿ“œ SIMILAR VOLUMES

A Construction of Biorthogonal Functions
A Construction of Biorthogonal Functions to B-Splines with Multiple Knots
โœ N. Dyn ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 71 KB

We present a construction of a refinable compactly supported vector of functions which is biorthogonal to the vector of B-splines of a given degree with multiple knots at the integers with prescribed multiplicity. The construction is based on Hermite interpolatory subdivision schemes, and on the rel