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A New Class of 2 q -Point Nonstationary Subdivision Schemes and Their Applications

Author

Listed:
  • Abdul Ghaffar

    (Department of Mathematical Sciences, BUITEMS, Quetta 87300, Pakistan
    These authors contributed equally to this work.)

  • Mehwish Bari

    (Department of Mathematics, NCBA&E, Bahawalpur 63100, Pakistan
    These authors contributed equally to this work.)

  • Zafar Ullah

    (Department of Mathematics, University of Education Lahore, Campus DG Khan, Dera Ghazi Khan 54770, Pakistan
    These authors contributed equally to this work.)

  • Mudassar Iqbal

    (Department of Mathematical Sciences, BUITEMS, Quetta 87300, Pakistan
    These authors contributed equally to this work.)

  • Kottakkaran Sooppy Nisar

    (Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
    These authors contributed equally to this work.)

  • Dumitru Baleanu

    (Department of Mathematics, Cankaya University, Ankara 06530, Turkey
    Institute of Space Sciences, Magurele-Bucharest 76900, Romania
    These authors contributed equally to this work.)

Abstract

The main objective of this study is to introduce a new class of 2 q -point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to find the continuity of the ANSSs. These schemes can be nicely generalized to contain local shape parameters that allow the user to locally adjust the shape of the limit curve/surface. Moreover, many existing approximating stationary subdivision schemes (ASSSs) can be obtained as nonstationary counterparts of the proposed ANSSs.

Suggested Citation

  • Abdul Ghaffar & Mehwish Bari & Zafar Ullah & Mudassar Iqbal & Kottakkaran Sooppy Nisar & Dumitru Baleanu, 2019. "A New Class of 2 q -Point Nonstationary Subdivision Schemes and Their Applications," Mathematics, MDPI, vol. 7(7), pages 1-21, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:639-:d:249520
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    References listed on IDEAS

    as
    1. Tan, Jieqing & Sun, Jiaze & Tong, Guangyue, 2016. "A non-stationary binary three-point approximating subdivision scheme," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 37-43.
    2. Hameed, Rabia & Mustafa, Ghulam, 2017. "Family of a-point b-ary subdivision schemes with bell-shaped mask," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 289-302.
    Full references (including those not matched with items on IDEAS)

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