Cardinal t-Perfect Splines.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Cardinal t-perfect splines are introduced here as cardinal splines of degree m with leading term in nu,nu 1 equal to t sup nux sup m, all nu, as a connection between cardinal monosplines t 1 and cardinal perfect splines t -1. A cardinal t-perfect spline of minimal t-norm is determined for various choices of m and of the number s of continuous derivatives of the spline. An extremum problem for t-perfect cardinal splines is solved.
- Numerical Mathematics