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Sequential convergence and approximation in the space of Riemann integrable functions

โœ Scribed by W Dickmeis; H Mevissen; R.J Nessel; E van Wickeren


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
878 KB
Volume
55
Category
Article
ISSN
0021-9045

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On the convergence of Fourier series of
โœ Philippe Moser ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 130 KB

This paper studies how well computable functions can be approximated by their Fourier series. To this end, we equip the space of L p -computable functions (computable Lebesgue integrable functions) with a size notion, by introducing L p -computable Baire categories. We show that L p -computable Bair