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Volume 29, Issue 4
On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes

L. Y. Zhu & X. Xu

Anal. Theory Appl., 29 (2013), pp. 348-357.

Published online: 2013-11

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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.

  • AMS Subject Headings

41A05, 41A10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-348, author = {L. Y. Zhu and X. Xu}, title = {On the Negative Extremums of Fundamental Functions of Lagrange Interpolation Based on Chebyshev Nodes}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {4}, pages = {348--357}, 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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.4}, url = {http://global-sci.org/intro/article_detail/ata/4529.html} }
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 -

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.

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