Differential-recurrence properties of dual Bernstein polynomials
classification
🧮 math.NA
keywords
polynomialsbernsteindualbeendifferential-recurrencefourth-orderpropertiescomputational
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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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