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ON LAGRANGE INTERPOLATION TO |x|α(1 <α< 2) WITH EQUALLY SPACED NODES
摘    要:S.M. Lozinskii proved the exact convergence rate at the zero of Lagrange interpolation polynomials to |x| based on equidistant nodes in -1, 1]. In 2000, M. Rever generalized S.M. Lozinskii's result to |x|α(0 ≤α≤ 1). In this paper we will present the exact rate of convergence at the point zero for the interpolants of |x|α(1 <α< 2)..

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