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A trivariate near-best blending quadratic quasi-interpolant

Author

Listed:
  • Barrera, D.
  • Dagnino, C.
  • Ibáñez, M.J.
  • Remogna, S.

Abstract

In this paper, we construct a new trivariate spline quasi-interpolation operator. It is expressed as blending sum of univariate and bivariate C1 quadratic spline quasi-interpolants and it is of near-best type, i.e. it has a small infinity norm and the coefficients functionals defining it are determined by minimizing an upper bound of the operator infinity norm, derived from the Bernstein-Bézier coefficients of its Lebesgue function.

Suggested Citation

  • Barrera, D. & Dagnino, C. & Ibáñez, M.J. & Remogna, S., 2020. "A trivariate near-best blending quadratic quasi-interpolant," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 25-35.
    • Handle: RePEc:eee:matcom:v:176:y:2020:i:c:p:25-35
    DOI: 10.1016/j.matcom.2019.10.005
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    References listed on IDEAS

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    1. Ameur, El Bachir & Barrera, Domingo & Ibáñez, María J. & Sbibih, Driss, 2008. "Near-best operators based on a C2 quartic spline on the uniform four-directional mesh," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 151-160.
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