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Some New n -Point Ternary Subdivision Schemes without the Gibbs Phenomenon

Author

Listed:
  • Sofiane Zouaoui

    (Ecole Supérieure des Sciences Appliquées-Alger and Laboratory of EDPNL & HM of ENS Kouba, Algiers 16001, Algeria)

  • Sergio Amat

    (Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain)

  • Sonia Busquier

    (Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain)

  • Mª José Legaz

    (Departamento de Física Aplicada y Tecnología Naval, Universidad Politécnica de Cartagena, 30202 Cartagena, Spain)

Abstract

This paper is devoted to the construction and analysis of some new families of n -point ternary subdivision schemes. Some members of the families were adapted to the presence of discontinuities converging to limit functions without Gibbs oscillations. We present a numerical comparison where we check the theoretical properties.

Suggested Citation

  • Sofiane Zouaoui & Sergio Amat & Sonia Busquier & Mª José Legaz, 2022. "Some New n -Point Ternary Subdivision Schemes without the Gibbs Phenomenon," Mathematics, MDPI, vol. 10(15), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2674-:d:875210
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    References listed on IDEAS

    as
    1. Rehan, Kashif & Siddiqi, Shahid S., 2015. "A family of ternary subdivision schemes for curves," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 114-123.
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