The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions (Q1035789)

The paper starts with a general introduction to the B-spline (BS) methods. Next,the constructive approach used for defining a new quasi-interpolation operator is introduced in the general case of a nonuniform partition. The convergence behaviour of the above operator is studied and some numerical examples are presented in order to check the performances of the new new quasi-interpolation scheme. The results obtained are interesting when are dealing with the numerical solution of differential problems because in this case approximations of both the solution and its derivative at the mesh points are available.