TY - JOUR
T1 - On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes
AU - L. Y. Zhu & X. Xu
JO - Analysis in Theory and Applications
VL - 4
SP - 348
EP - 357
PY - 2013
DA - 2013/11
SN - 29
DO - http://doi.org/10.4208/ata.2013.v29.n4.4
UR - https://global-sci.org/intro/article_detail/ata/4529.html
KW - Negative extremum, Lagrange interpolation, Chebyshev polynomial, fundamental function of interpolation.
AB - <p style="text-align: justify;">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.</p>