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Quasi-interpolant operators in Bernstein basis

Author

Listed:
  • Bouhiri, S.
  • Lamnii, A.
  • Lamnii, M.
  • Zidna, A.

Abstract

The aim of this paper is to present a family of polynomial quasi-interpolants in Bernstein basis. More precisely, we will combine the strong features of the polar forms and the symmetric polynomials to derive the coefficients of the quasi-interpolant in the Bernstein basis representation. We also derive a collection of spline quasi-interpolants that reproduce polynomial functions up to degree 2. Numerical examples support the theoretical results and show that the proposed scheme is simple and effective.

Suggested Citation

  • Bouhiri, S. & Lamnii, A. & Lamnii, M. & Zidna, A., 2021. "Quasi-interpolant operators in Bernstein basis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 186(C), pages 80-90.
    • Handle: RePEc:eee:matcom:v:186:y:2021:i:c:p:80-90
    DOI: 10.1016/j.matcom.2020.07.001
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    References listed on IDEAS

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    1. Lamnii, A. & Lamnii, M. & Oumellal, F., 2017. "Computation of Hermite interpolation in terms of B-spline basis using polar forms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 17-27.
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