The Approximation Properties of a Rational Cubic Spline
This paper deals with the approximation properties of a rational cubic spline with quadratic denominator. The rational cubic spline has two families of parameters and based on function values only. From the point of view of the magnitude of the optimal error constant, it found that this kind of spline give good approximation to the function being interpolated.
Helen Zhang, Gang Shen and David Jin
M. Tian and H. L. Geng, "The Approximation Properties of a Rational Cubic Spline", Advanced Materials Research, Vols. 225-226, pp. 166-169, 2011