TY - JOUR T1 - On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes 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 -

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.