Generalized Jacobi-Koornwinder's-type Bernstein polynomials bases transformations

摘要

This paper provides an explicit closed form of generalized Jacobi-Koornwinder's polynomials of degree r <= n in terms of the Bernstein basis of fixed degree n. Moreover, explicit forms of generalized Jacobi-Koornwinder's type and Bernstein polynomials bases transformations are considered.