Shape Preserving Hermite Subdivision Scheme Constructed from Quadratic Polynomial

In this paper, a Hermite interpolatory subdivision scheme is constructed from the quadratic polynomial. We show that the scheme converges and preserve monotonicity and convexity. In general, the approximation order of the scheme is two. However, third order approximation is achieved by functions having more smoothness. Numerical examples are given to illustrate the effectiveness of our scheme.