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Convexity control and approximation properties of interpolating curves

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Abstract

A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Shandong University of Technology, 250061, Jinan, China

    Qi Duan

  2. Department of Information Engineering, Da-Yeh University, Taiwan

    Tzer-Shyong Chen

  3. School of Engineering Sciences, Department of Ship Science, Southampton University, S017 1BJ, UK

    K. Djidjeli

  4. School of Engineering Sciences, Southampton University, S017 1BJ, UK

    W. G. Price

  5. Department of Mathematical Sciences, Brunel University, UB8 3PH, Uxbridge, Middlesex, UK

    E. H. Twizell

Authors
  1. Qi Duan
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  2. Tzer-Shyong Chen
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  3. K. Djidjeli
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  4. W. G. Price
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  5. E. H. Twizell
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Correspondence to Qi Duan.

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Duan, Q., Chen, TS., Djidjeli, K. et al. Convexity control and approximation properties of interpolating curves. Korean J. Comput. & Appl. Math. 7, 397–405 (2000). https://doi.org/10.1007/BF03012201

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  • DOI: https://doi.org/10.1007/BF03012201

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