Soft-collinear effective theory: Difference between revisions

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{{Unreferenced|date=December 2006}}
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In the [[mathematical]] subfields [[function theory]] and [[numerical analysis]], a univariate polynomial [[Spline (mathematics)|spline]] of order <math>m</math> is called a '''perfect spline''' if its <math>m</math>-th derivative is equal to <math>+1</math> or <math>-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 problem]]s in mathematics. For example [[norm (mathematics)|norms]] of periodic perfect splines (they are sometimes called [[Euler spline|Euler perfect splines]]) are equal to [[Favard constant|Favard's constants]].
 
{{DEFAULTSORT:Perfect Spline}}
[[Category:Splines]]
[[Category:Interpolation]]
 
{{Mathapplied-stub}}

Latest revision as of 05:52, 10 April 2014

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