The divergence of Lagrange interpolation in equidistant nodes

It is a classical result of Bernstein that the sequence of Lagrange interpolation polynomials to |x|at equally spaced nodes in [−1, 1] diverges everywhere, except at zero and the end-points. In the present paper, we prove that the sequence of Lagrange interpolation polynomials corresponding to |x| α (2 < α < 4) on equidistant nodes in [−1, 1] diverges everywhere, except at zero and the end-points.

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The divergence of Lagrange interpolation in equidistant nodes

Cited by 2 publications

References 4 publications

On Lagrange interpolation to |x|α(1<α<2) with equally spaced nodes

On Lagrange interpolation to |x|α(1<α<2) with equally spaced nodes

The divergence of Lagrange interpolation for |x|α (2 < α < 4) at equidistant nodes

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