6533b7d4fe1ef96bd1262a32
RESEARCH PRODUCT
ON SOME GENERALIZATION OF SMOOTHING PROBLEMS
Natalja BudkinaSvetlana Asmusssubject
interpolating splinesBox splineGeneralizationsmoothing splinesRegular polygonHilbert spaceCharacterization (mathematics)CombinatoricsSmoothing splinesymbols.namesakeModeling and Simulationmixed splinesQA1-939symbolsApplied mathematicssplines in convex setsMathematicsAnalysisSmoothingComputingMethodologies_COMPUTERGRAPHICSMathematicsdescription
The paper deals with the generalized smoothing problem in abstract Hilbert spaces. This generalized problem involves particular cases such as the interpolating problem, the smoothing problem with weights, the smoothing problem with obstacles, the problem on splines in convex sets and others. The theorem on the existence and characterization of a solution of the generalized problem is proved. It is shown how the theorem gives already known theorems in special cases as well as some new results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-06-02 | Mathematical Modelling and Analysis |