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

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

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作  者:Laiyi Zhu Xu Xu 

机构地区:[1]School of Information, Renmin University of China

出  处:《Analysis in Theory and Applications》2013年第4期348-357,共10页分析理论与应用(英文刊)

摘  要: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.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.

关 键 词:Negative extremum Lagrange interpolation Chebyshev polynomial fundamentalfunction of interpolation. 

分 类 号:O174[理学—数学]

 

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