Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
نویسندگان
چکیده
منابع مشابه
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces are investigated. Some results on orthogonal projections and interpolations are established. Explicit expressions describing the dependence of approximation results on the parameters of Jacobi polynomials are given. These results serve as an important tool in the analysis of numerous quadratures and numerical methods for diff...
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Spectral approximations on the triangle by orthogonal polynomials are studied in this paper. Optimal error estimates in weighted semi-norms for both the L2− and H1 0−orthogonal polynomial projections are established by using the generalized Koornwinder polynomials and the properties of the Sturm-Liouville operator on the triangle. These results are then applied to derive error estimates for the...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2004
ISSN: 0021-9045
DOI: 10.1016/j.jat.2004.03.008