Abstract
According to a theorem of Weierstrass, any continuous function in a bounded closed interval can be uniformly approximated by polynomials. From this celebrated statement, a large variety of sophisticated results have emerged. We review those that are most relevant to the analysis of spectral methods.
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© 1992 Springer-Verlag Berlin Heidelberg
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(1992). Results in Approximation Theory. In: Polynomial Approximation of Differential Equations. Lecture Notes in Physics Monographs, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-46783-0_6
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DOI: https://doi.org/10.1007/978-3-540-46783-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55230-7
Online ISBN: 978-3-540-46783-0
eBook Packages: Springer Book Archive