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Differential-recurrence properties of dual Bernstein polynomials

2018/03/05 by Chudy, Filip, Woźny, Paweł
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1803.01735

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.

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