Differential-recurrence properties of dual Bernstein polynomials

作者：Chudy Filip; Wozny Pawel^*

来源：Applied Mathematics and Computation, 2018, 338: 537-543.

DOI：10.1016/j.amc.2018.06.039

• Differential equations
• Recurrence relations
• Bernstein basis polynomials
• Dual Bernstein polynomials
• Jacobi and Hahn polynomials
• Generalized hypergeometric functions

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.

• 出版日期2018-12-1