Change of basis for generalized Chebyshev Koornwinder's type polynomials of first kind
arXiv:1503.073931 citationsh-index: 7
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Provides explicit conversion formulas for a specialized class of orthogonal polynomials, which is an incremental contribution to approximation theory.
The paper derives explicit formulas for converting generalized Chebyshev Koornwinder's type polynomials of the first kind to the Bernstein basis of fixed degree n, and analyzes the change-of-basis between these polynomial families.
In this paper an explicit form of generalized Chebyshev Koornwinder's type polynomial of first kind in terms of the Bernstein basis of fixed degree $n$ is provided. Moreover, we investigate generalized Chebyshev Koornwinder's type polynomials of first kind and Bernstein polynomials change of bases.