Perfect spline
From HandWiki
Revision as of 17:21, 4 August 2021 by imported>PolicyEnforcerIA (attribution)
In the mathematical subfields function theory and numerical analysis, a univariate polynomial spline of order [math]\displaystyle{ m }[/math] is called a perfect spline if its [math]\displaystyle{ m }[/math]-th derivative is equal to [math]\displaystyle{ +1 }[/math] or [math]\displaystyle{ -1 }[/math] between knots and changes its sign at every knot.
The term was coined by Isaac Jacob Schoenberg.
Perfect splines often give solutions to various extremal problems in mathematics. For example, norms of periodic perfect splines (they are sometimes called Euler perfect splines) are equal to Favard's constants.
This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. (2021) (Learn how and when to remove this template message) |
![]() | Original source: https://en.wikipedia.org/wiki/Perfect spline.
Read more |