Shape preserving curves using quadratic trigonometric splines

摘要

This paper develops a smooth trigonometric quadratic spline. It consists of three parameters which provide flexibility of tangents in their magnitude and direction at the end points of each sub-interval. Furthermore, constraints have been derived on two of the parameters to demonstrate positive, constrained, monotone and convex shapes of the data. The third parameter is left free to achieve extra control on shape if needed. The error bound of developed spline has been achieved of order three.