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Convexity preserving C 0 splines

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Abstract

Linear conditions for a C 0 spline to be convex are developed and used to create some convexity preserving interpolation and approximation methods.

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References

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, Nashville, TN, 37240, USA

    Larry L. Schumaker

  2. Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001, Leuven, Belgium

    Hendrik Speleers

Authors
  1. Larry L. Schumaker
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  2. Hendrik Speleers
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Corresponding author

Correspondence to Hendrik Speleers.

Additional information

Communicated by: Arieh Iserles

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Schumaker, L.L., Speleers, H. Convexity preserving C 0 splines. Adv Comput Math 40, 117–135 (2014). https://doi.org/10.1007/s10444-013-9301-8

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  • DOI: https://doi.org/10.1007/s10444-013-9301-8

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