Convergence rates of derivatives of a family of barycentric rational interpolants
نویسندگان
چکیده
In polynomial and spline interpolation the k-th derivative of the interpolant, as a function of the mesh size h, typically converges at the rate of O(hd+1−k) as h → 0, where d is the degree of the polynomial or spline. In this paper we establish, in the important cases k = 1, 2, the same convergence rate for a recently proposed family of barycentric rational interpolants based on blending polynomial interpolants of degree d. Math Subject Classification: 65D05, 41A05, 41A20, 41A25
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