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C 2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values

Author

Listed:
  • Salah Eddargani

    (Department of Applied Mathematics, University of Granada, 18071 Granada, Spain)

  • Mohammed Oraiche

    (MISI Laboratory, Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco)

  • Abdellah Lamnii

    (LaSAD Laboratory, Ecole Normale Supérieure, Abdelmalek Essaadi University, Tetouan 93030, Morocco)

  • Mohamed Louzar

    (MISI Laboratory, Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco)

Abstract

In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the function to be approximated, rather than the function and its first derivative values. The scheme provided is C 2 everywhere and yields optimal order. We provide some numerical tests to illustrate the good performance of the novel approximation scheme.

Suggested Citation

  • Salah Eddargani & Mohammed Oraiche & Abdellah Lamnii & Mohamed Louzar, 2022. "C 2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1490-:d:805664
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    References listed on IDEAS

    as
    1. Barrera, D. & Eddargani, S. & Ibáñez, M.J. & Lamnii, A., 2022. "A new approach to deal with C2 cubic splines and its application to super-convergent quasi-interpolation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 401-415.
    2. Muhammad Ammad & Md Yushalify Misro & Muhammad Abbas & Abdul Majeed, 2021. "Generalized Developable Cubic Trigonometric Bézier Surfaces," Mathematics, MDPI, vol. 9(3), pages 1-17, January.
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