Differential-recurrence properties of dual Bernstein polynomials
Provides theoretical tools for researchers working with dual Bernstein polynomials in numerical analysis or approximation theory.
The paper derives new differential-recurrence properties of dual Bernstein polynomials by linking them to orthogonal Hahn and Jacobi polynomials, leading to a fourth-order differential equation and recurrence relation. These results may aid in solving computational problems efficiently.
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.