As background for our discussion we recall a result from [10]. First a few definitions. Let l n denote the class of cardinal spline functions S(x) of degree n (n≧1) having their knots at the integer points of the real axis. This means that S(x)∈l n, provided that the restriction of S(x) to every unit interval (v, v + 1) is a polynomial of degree n at most.


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Copyright information

© Birkhäuser Verlag Basel 1972

Authors and Affiliations

  • I. J. Schoenberg
    • 1
  1. 1.Math. Research CenterUniversity of WisconsinMadisonUSA

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