Abstract
Before studying the convergence properties of orthogonal polynomials, it is necessary to specify the classes of functions to be approximated. This leads to the definition of new functional spaces. An elementary introduction of the so called Sobolev spaces is given in this chapter. Beginners, with a weak mathematical background, can skip over this part in the first reading.
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© 1992 Springer-Verlag Berlin Heidelberg
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(1992). Functional Spaces. 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_5
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DOI: https://doi.org/10.1007/978-3-540-46783-0_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55230-7
Online ISBN: 978-3-540-46783-0
eBook Packages: Springer Book Archive