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Perfect spline

In the mathematical subfields function theory and numerical analysis, a univariate polynomial spline of order is called a perfect spline if its -th… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2010
2010
Let / = (a, b) be an interval in R and let Hn' consist of those real-valued functions / such that f is absolutely continuous on… Expand
2007
2007
  • X. Yu
  • 2007
  • Corpus ID: 16533019
We obtain the characterization of saturation class and approximation spaces for perfect spline approximation. Also, a generalized… Expand
2007
2007
We present a Chebyshev-type characterization for the best uniform approximations of periodic continuous functions by functions of… Expand
2006
2006
As usual, denote by KW [a, b] the Sobolev class consisting of every function whose (r − 1)st derivative is absolutely continuous… Expand
2005
2005
We present a Hermite interpolation problem via splines of odd-degree which, to the best knowledge of the authors, has not been… Expand
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2003
2003
  • Y. Hu, X. Yu
  • J. Approx. Theory
  • 2003
  • Corpus ID: 14006876
Our study of perfect spline approximation reveals: (i) it is closely related to ΣΔ modulation used in one-bit quantization of… Expand
1987
1987
and a := (0 < & -C . . 1 < & < &+I =: b. In Bojanov (1984) (see also Bojanov 1986a) we studied an extension of the perfect… Expand
1981
1981
THEOREM 1.1 (U. Sattes). Let r > 2 and g E C[O, l]\B$,‘. Then f”EB$’ is a best approximation to g, in L” (such a best… Expand