6533b82efe1ef96bd1292675
RESEARCH PRODUCT
A remarkable equality referring to spline functions in Hilbert spaces
Adrian BrangaMugur Acusubject
Hermite splinePure mathematicsGeneral MathematicsMathematical analysisPerfect splineHilbert spaceMathematics::Numerical AnalysisSpline (mathematics)symbols.namesakesymbolsUniquenessThin plate splineSpline interpolationMathematicsdescription
In the introduction of this paper is presented the definition of the generalized spline functions as solutions of a variational problem and are shown some theorems regarding to the existence and uniqueness. The main result of this article consists in a remarkable equality verified by the generalized spline elements, based on the properties of the spaces, operator and interpolatory set involved, which can be used as a characterization theorem of the generalized spline functions in Hilbert spaces.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-01-01 | Filomat |