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

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 348–357

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Negative extremum Lagrange interpolation Chebyshev polynomial fundamental function of interpolation.