Differential-recurrence properties of dual Bernstein polynomials

Filip Chudy and Paweł Woźny

Applied Mathematics and Computation, 2018, vol. 338, issue C, 537-543

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.

Keywords: Differential equations; Recurrence relations; Bernstein basis polynomials; Dual Bernstein polynomials; Jacobi and Hahn polynomials; Generalized hypergeometric functions (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:338:y:2018:i:c:p:537-543

DOI: 10.1016/j.amc.2018.06.039

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