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Original Articles

Existence of the Solution of Classical Smoothing Problems with Obstacles and Weights

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Pages 58-64 | Received 18 May 2011, Accepted 23 Nov 2011, Published online: 22 Feb 2012

References

  • Asmuss , S. , Budkina , N. and Oja , P. 1997 . On smoothing problems with weights and obstacles . Proc. Estonian Acad. Sci. Phys. Math. , 46 ( 4 ) : 262 – 272 .
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  • M.I . Ignatov and A.B . Pevnyj . Natural Splines of Several Variables . Nauka , Leningrad , 1991 . (in Russian)
  • E. Leetma . A method for solving classical smoothing problems with obstacles . Proc. Est. Acad. Sci ., 58 4 : 197 – 204 , 2009 . http://dx.doi.org/10.3176/proc.2009.4.01 .
  • E. Leetma and P. Oja . A method of adding-removing knots for solving smoothing problems with obstacles . European J. Oper. Res ., 194 1 : 28 – 38 , 2009 . http://dx.doi.org/10.1016/j.ejor.2007.12.020 .
  • S.L . Sobolev . Introduction to the Theory of Cubature Formulae . Nauka , Moscow , 1974 . (in Russian)
  • V.V . Vershinin , Yu.S . Zav'yalov and N.N . Pavlov . Extremal Properties of Splines and the Smoothing Problem . Nauka , Novosibirsk , 1988 . (in Russian)
  • Wendland , H. 2005 . Scattered Data Approximation , Cambridge : Cambridge University Press .

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