  In this paper, we present a new Hermite type curve piecewise polynomial of C1
continuity on nonuniform grids. Depending on the location of the knots of the
grid (uniform and nonuniform), the curve is quadratic or cubic. The
approximation error is investigated. For nonuniform grids a method for
calculating the first and second derivatives in knots is proposed. We also
perform several numerical experiments which exemplify the properties of the
proposed curve. Graphic examples are given.
