Constrained Control And Approximation Properties Of A Rational Interpolating Curve

This paper deals with the convexity control, and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for controlling the interpolating curve to be convex or concave are derived. When the function being interpolated is f(t) is an element of C-(3) [t(0), t(n)], the error estimation of the interpolating function and the boundedness of the optimal error coefficient and its double symmetry with regard to parameters are obtained. (C) 2002 Elsevier Science Inc. All rights reserved.