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[02401] A low-degree normalized B-spline-like representation for Hermite osculatory interpolation problems

  • Session Time & Room : 1C (Aug.21, 13:20-15:00) @F310
  • Type : Contributed Talk
  • Abstract : This talk deals with Hermite's osculatory interpolating splines. For a partition of a real interval endowed with a refinement consisting in dividing each subinterval into two small subintervals, we consider a space of smooth splines with super-smoothness at the vertices of the initial partition, and of the lowest possible degree. A normalized B-spline-like representation for the considered spline space is provided. In addition, several quasi-interpolation operators based on blossoming and control polynomials have also been developed. Some numerical tests are presented and compared with some recent works to illustrate the performance of the proposed approach.
  • Classification : 41A15
  • Author(s) :
    • Mohamed BOUSHABI (Abdelmalek Essaadi University, LaSAD, ENS, 93030 Tetouan, Morocco)
    • Salah Eddargani ( University of Rome Tor Vergata Rome)
    • María José Ibáñez (University of Granada)
    • Abdellah Lamnii (Abdelmalek Essaadi University, LaSAD, ENS, 93030 Tetouan, Morocco)