On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes

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Abstract

In this paper, we investigate the negative extremums of fundamental functions of Lagrange interpolation based on Chebyshev nodes. Moreover, we establish some companion results to the theorem of J. Szabados on the positive extremum.

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Negative extremum Lagrange interpolation Chebyshev polynomial fundamental function of interpolation.
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DOI

10.4208/ata.2013.v29.n4.4

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On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes. (2013). Analysis in Theory and Applications, 29(4), 348-357. https://doi.org/10.4208/ata.2013.v29.n4.4