Publication Date:
2019-07-12
Description:
A class of projection operators with values in a subspace of polynomials is analyzed. These projection operators are related to the Hilbert spaces involved in the numerical analysis of spectral methods. They are, in the first part of the paper, the standard Sobolev spaces and, in the second part, some weighted Sobolev spaces, the weight of which is related to the orthoronality relation satisfied by the Chebyshev polynomials. These results are used to study the approximation of a model fourth-order problem.
Keywords:
NUMERICAL ANALYSIS
Type:
Mathematics of Computation (ISSN 0025-5718); 55; 537-562
Format:
text
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