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Piecewise Cubic Approximation for Data

Received: 13 May 2013    Accepted:     Published: 30 June 2013
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Abstract

In this paper, we consider features concerning approximation for data by using piecewise interpolation techniques. Numerical examples are given which compare piecewise cubic interpolation methods.

Published in American Journal of Applied Mathematics (Volume 1, Issue 2)
DOI 10.11648/j.ajam.20130102.11
Page(s) 24-27
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Piecewise, Cubic Bessel Interpolation, Cubic Hermite Interpolation, Cubic Interpolation

References
[1] Tae-Wan Kim, Boris Kvasov, A shape-preserving approximation by weighted cubic splines, Journal of Computational And Applied Mathematics, 236 (2012) 4383–4397.
[2] İ.N. Askerzade Askerbeyli, Şahin Emrah Amrahov, Two approaches for fuzzy interpolation, Journal of Computing, 2010,2151-9617.
[3] F.N. Fritsch and R. E. Carlson, Monotone piecewise cubic interpolation, Siam J.Numer. Anal., 17(1980) 238-246
[4] Carl de Boor, A Practical Guide to Splines, Applied Mathematical Sciences Vol. 27
[5] Abbasbandy S. and Babolian E., Interpolation of fuzzy data by natural splines, Korean J. Comput. Appl. Math. 5 (1998) 457-463.
[6] Abbasbandy S., Interpolation of fuzzy data by complete splines, Korean J. Comput. Appl. Math. 8 (2001) 587-594.
[7] Akima H., A new method of interpolation and smooth curve fitting based on local procedures, J. Assoc. Comput. Mech. 17(1970) 589-602.
[8] Yan Z. By., Piecewise cubic curve fitting algorithm, Math. of Comput. 49(1987) 203-213.
[9] Kershaw D. By., The orders of approximation of the first derivative of cubic splines at the knots, Math. of Comput. 26(1972) 191-198.
[10] Anderson L.E., And Elfving T., Interpolation and approximation by monotone cubic splines, Journal of Approximation Theory, 66(1991) 302-303.
Cite This Article
  • APA Style

    Emine Can, Sabri Ali Ümekkan, Canan Köroğlu. (2013). Piecewise Cubic Approximation for Data. American Journal of Applied Mathematics, 1(2), 24-27. https://doi.org/10.11648/j.ajam.20130102.11

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    ACS Style

    Emine Can; Sabri Ali Ümekkan; Canan Köroğlu. Piecewise Cubic Approximation for Data. Am. J. Appl. Math. 2013, 1(2), 24-27. doi: 10.11648/j.ajam.20130102.11

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    AMA Style

    Emine Can, Sabri Ali Ümekkan, Canan Köroğlu. Piecewise Cubic Approximation for Data. Am J Appl Math. 2013;1(2):24-27. doi: 10.11648/j.ajam.20130102.11

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  • @article{10.11648/j.ajam.20130102.11,
      author = {Emine Can and Sabri Ali Ümekkan and Canan Köroğlu},
      title = {Piecewise Cubic Approximation for Data},
      journal = {American Journal of Applied Mathematics},
      volume = {1},
      number = {2},
      pages = {24-27},
      doi = {10.11648/j.ajam.20130102.11},
      url = {https://doi.org/10.11648/j.ajam.20130102.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20130102.11},
      abstract = {In this paper, we consider features concerning approximation for data by using piecewise interpolation techniques. Numerical examples are given which compare piecewise cubic interpolation methods.},
     year = {2013}
    }
    

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    AU  - Emine Can
    AU  - Sabri Ali Ümekkan
    AU  - Canan Köroğlu
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    DO  - 10.11648/j.ajam.20130102.11
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajam.20130102.11
    AB  - In this paper, we consider features concerning approximation for data by using piecewise interpolation techniques. Numerical examples are given which compare piecewise cubic interpolation methods.
    VL  - 1
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Author Information
  • Kocaeli University, Dept. of Art and Science, Kocaeli, Turkey

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