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Constrained Jacobi polynomial and constrained Chebyshev polynomial

안영준
대한수학회 (The Korean Mathematical Society)|2008.04|대한수학회논문집 (Communications of the KMS)|제23권 제2호|pp. 279-284

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키워드

Jacobi polynomialChebyshev polynomialdegree reductionC0 constraint.
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초록

In this paper, we present the constrained Jacobi polynomial which is equal to the constrained Chebyshev polynomial up to constant multiplication. For degree n = 4, 5, we find the constrained Jacobi polynomial, and for n ≥ 6, we present the normalized constrained Jacobi polynomial which is similar to the constrained Chebyshev polynomial.

Abstract

In this paper, we present the constrained Jacobi polynomial which is equal to the constrained Chebyshev polynomial up to constant multiplication. For degree n = 4, 5, we find the constrained Jacobi polynomial, and for n ≥ 6, we present the normalized constrained Jacobi polynomial which is similar to the constrained Chebyshev polynomial.

참고문헌 (20)

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