Min, G. On approximation of functions and their derivatives by quasi-Hermite interpolation. (English) Zbl 0842.41017 Int. J. Math. Math. Sci. 19, No. 2, 279-286 (1996). Summary: We consider the simultaneous approximation of the derivatives of the functions by the corresponding derivatives of quasi-Hermite interpolation based on the zeros of \((1- x^2) p_n (x)\) (where \(p_n (x)\) is a Legendre polynomial). The corresponding approximation degrees are given. It is shown that this matrix of nodes is almost optimal. MSC: 41A25 Rate of convergence, degree of approximation 41A05 Interpolation in approximation theory 41A28 Simultaneous approximation Keywords:optimal nodes; Legendre polynomials; best approximation; Hermite interpolation; derivatives PDF BibTeX Cite \textit{G. Min}, Int. J. Math. Math. Sci. 19, No. 2, 279--286 (1996; Zbl 0842.41017) Full Text: DOI EuDML