On Lagrange interpolatory parabolas to
$\left | x\right | ^{\alpha }$ at equally spaced nodes |
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| Authors: | M Revers |
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| Institution: | (1) Department of Botany, University of Delhi, 110007 Delhi, India;(2) Department of Botany, Daulat Ram College, University of Delhi, India; |
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| Abstract: | In this paper we present a generalized quantitative version of a result due to D. L. Berman concerning the exact convergence rate at zero of Lagrange interpolation polynomials to | x| a\left | x\right | ^{\alpha } based on equally spaced nodes in -1, 1]. The estimates obtained turn out to be best possible. |
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