Search results for "smoothing problem"

showing 2 items of 2 documents

On smoothing problems with one additional equality condition

2009

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

Mathematical optimizationSmoothing problemHilbert spacesplineSpline (mathematics)symbols.namesakeModeling and SimulationHistogramObstacleQA1-939symbolsapproximationMathematicsAnalysisSmoothingMathematicsMathematical Modelling and Analysis
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Splines in convex sets under constraints of two‐sided inequality type in a hyperplane

2008

The problem of minimization of a smoothing functional under inequality constraints is considered in a hyperplane. The conditions of the existence of a solution are obtained and some properties of this solution are investigated. It is proved that the solution is a spline. The method for its construction is suggested. First Published Online: 14 Oct 2010

smoothing problemMathematical analysisRegular polygonLinear matrix inequalityHalf-spacesplineSpline (mathematics)Simplex algorithmHyperplaneModeling and SimulationQA1-939Applied mathematicsThin plate splinesimplex methodAnalysisSmoothingMathematicsMathematicsMathematical Modelling and Analysis
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