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Original Articles

A note on monotone interpolation and smoothing splines

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Pages 47-54 | Received 28 Jun 1993, Published online: 15 May 2007

References

  • Hornung , U. 1980 . “ Monotone spline interpolation ” . In Numerische rnethoden der approximationstheorie , Edited by: Collatz , L. , Meinardus , G. and Werner , H. Vol. 4 , 172 – 191 . Basel : Birkhaüser .
  • Utreras , F.I. 1985 . Smoothing noisy data under monotonicity constrains. Existence,characterization and convergence rates . Num. Math. , 7 : 611 – 625 .
  • Wegman , E.J. and Wright , I.W. 1983 . Splines in statistics . J. Amer. Statist. Assoc. , 78 : 351 – 365 .
  • Silverman , B.W. 1985 . Some aspects of the spline smoothing approach to nonparametric regression curve fitting. . J. R. Statist. Soc. Ser B , 47 : 1 – 52 .
  • Laurent , P.J. 1972 . “ Approximation et optimisation ” . Paris : Hermann .

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