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Generalized nonnegative polynomials are defined as products of nonnegative polynomials raised to positive real powers. The generalized degree can be defined in a natural way. In this paper we extend quadrature sums involving pth powers of polynomials to those for generalized polynomials
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참고문헌 (17)
참고문헌 신청
® > 1, with applications / J. Approx. Theory 49 (2) : 149 ~ 169
A. L. Levin / 1987 / Canonical products and the weights exp(?
A. L. Levin / 1992 / Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights / Constr. Approx. 8 (4) : 463 ~ 535
D. S. Lubinsky / 1987 / Quadrature sums involving pth powers of polynomials / SIAM J. Math. Anal. 18 (2) : 531 ~ 544
D. S. Lubinsky / 1988 / A proof of Freud’s conjecture for exponential weights / Constr. Approx. 4 (1) : 65 ~ 83
A. L. Levin / 1987 / Canonical products and the weights exp(?
A. L. Levin / 1992 / Christoffel functions, orthogonal polynomials, and Nevai’s conjecture for Freud weights / Constr. Approx. 8 (4) : 463 ~ 535
D. S. Lubinsky / 1987 / Quadrature sums involving pth powers of polynomials / SIAM J. Math. Anal. 18 (2) : 531 ~ 544
D. S. Lubinsky / 1988 / A proof of Freud’s conjecture for exponential weights / Constr. Approx. 4 (1) : 65 ~ 83
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