6533b828fe1ef96bd12884c6
RESEARCH PRODUCT
On smoothing problems with one additional equality condition
Natalia BudkinaSvetlana Asmusssubject
Mathematical optimizationSmoothing problemHilbert spacesplineSpline (mathematics)symbols.namesakeModeling and SimulationHistogramObstacleQA1-939symbolsapproximationMathematicsAnalysisSmoothingMathematicsdescription
Two problems of approximation in Hilbert spaces are considered with one additional equality condition: the smoothing problem with a weight and the smoothing problem with an obstacle. This condition is a generalization of the equality, which appears in the problem of approximation of a histogram in a natural way. We characterize the solutions of these smoothing problems and investigate the connection between them. First published online: 14 Oct 2010
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-06-30 | Mathematical Modelling and Analysis |