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Superconvergent spline quasi-interpolants and an application to numerical integration

Author

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  • Allouch, C.
  • Boujraf, A.
  • Tahrichi, M.

Abstract

In this paper, we present a new technique to get superconvergence phenomenon of spline quasi-interpolants at the knots of the partition. This method gives rise to good approximation not only at these knots but also on the whole domain of definition. Moreover, we give an application to numerical integration. Numerical results are given to illustrate the theoretical ones.

Suggested Citation

  • Allouch, C. & Boujraf, A. & Tahrichi, M., 2017. "Superconvergent spline quasi-interpolants and an application to numerical integration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 90-108.
    • Handle: RePEc:eee:matcom:v:137:y:2017:i:c:p:90-108
    DOI: 10.1016/j.matcom.2016.09.014
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    References listed on IDEAS

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    1. Foucher, Françoise & Sablonnière, Paul, 2009. "Quadratic spline quasi-interpolants and collocation methods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3455-3465.
    2. Abbadi, A. & Ibáñez, M.J. & Sbibih, D., 2011. "Computing quasi-interpolants from the B-form of B-splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(10), pages 1936-1948.
    3. Fortes, M.A. & Ibáñez, M.J. & Rodríguez, M.L., 2009. "On Chebyshev-type integral quasi-interpolation operators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3478-3491.
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