Abstract
Generalized cubic Hermite interpolation was constructed by using perturbed Padé approximation in this paper. We generalize our method to the \( 2n + 1 \) times Hermite interpolation of \( n + 1 \) points and study its barycentric form. Numerical example is given to show the effectiveness of our method. Finally, we further generalize the proposed method to generalized cubic Hermite interpolation based on perturbed Chebyshev-Padé approximation.
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Acknowledgements
This work is Supported by the grant of Anhui Provincial Natural Science Foundation, No.1508085QF116, the grant of the National Natural Science Foundation of China, Nos. 61672204, 61272024, the grant of Support Key Project for Excellent Young Talent in College of Anhui Province, No.gxyqZD2016269, the grant of Support Project for Excellent Young Talent in College of Anhui Province (X.F. Wang), the Science Research Major Foundation of Education Department of Anhui Province, Nos.KJ2015A206, KJ2016A603, Training Object for Academic Leader of Hefei University, No.2014dtr08, Key Constructive Discipline of Hefei University, No.2016xk05.
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Zou, L., Song, LT., Wang, XF., Chen, YP. (2017). Generalized Cubic Hermite Interpolation Based on Perturbed Padé Approximation. In: Huang, DS., Jo, KH., Figueroa-García, J. (eds) Intelligent Computing Theories and Application. ICIC 2017. Lecture Notes in Computer Science(), vol 10362. Springer, Cham. https://doi.org/10.1007/978-3-319-63312-1_2
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DOI: https://doi.org/10.1007/978-3-319-63312-1_2
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