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Differential-recurrence properties of dual Bernstein polynomials

Author

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  • Chudy, Filip
  • Woźny, Paweł

Abstract

New differential-recurrence properties of dual Bernstein polynomials are given which follow from relations between dual Bernstein and orthogonal Hahn and Jacobi polynomials. Using these results, a fourth-order differential equation satisfied by dual Bernstein polynomials has been constructed. Also, a fourth-order recurrence relation for these polynomials has been obtained; this result may be useful in the efficient solution of some computational problems.

Suggested Citation

  • Chudy, Filip & Woźny, Paweł, 2018. "Differential-recurrence properties of dual Bernstein polynomials," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 537-543.
    • Handle: RePEc:eee:apmaco:v:338:y:2018:i:c:p:537-543
    DOI: 10.1016/j.amc.2018.06.039
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    References listed on IDEAS

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    1. Gospodarczyk, Przemysław & Lewanowicz, Stanisław & Woźny, Paweł, 2017. "Degree reduction of composite Bézier curves," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 40-48.
    2. Woźny, Paweł & Gospodarczyk, Przemysław & Lewanowicz, Stanisław, 2015. "Efficient merging of multiple segments of Bézier curves," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 354-363.
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