Constrained Control of C^2 Rational Interpolant with Multiple Shape Parameter

Abstract

A C 2 cubic rational spline with cubic numerator and linear denominator has been constructed .This rational spline belongs to C 2 in the interpolating interval.By selecting the suitable value of shape parameters,it is easy to find the constrains for the shape of interpolating curve to lie above,below or between the given straight lines.Also the error bound for interpolating function is discussed.