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

Authors

  • L. Y. Zhu & X. Xu

DOI:

https://doi.org/10.4208/ata.2013.v29.n4.4

Keywords:

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

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.

Published

2013-11-02

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Section

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How to Cite

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