No abstract

In this paper local bivariate C 1 spline quasi-interpolants on a criss-cross triangulation of bounded rectangular domains are considered and a computational procedure for their construction is proposed. Numerical and graphical tests are provided.

No abstract

Given a non-uniform criss-cross triangulation of a rectangular domain Ω , we consider the approximation of a function f and its partial derivatives, by general C 1 quadratic spline quasi-interpolants and their derivatives. We give error bounds in terms of the smoothness of f and the characteristics of the triangulation. Then, the preceding theoretical results are compared with similar results in the literature. Finally, several examples are proposed for illustrating various applications of the quasiinterpolants studied in the paper.

No abstract