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The Riemann integrable functions are -complete in the Lebesgue integrable functions

✍ Scribed by Abhijit Dasgupta


Book ID
108175740
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
141 KB
Volume
332
Category
Article
ISSN
0022-247X

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On the convergence of Fourier series of
✍ Philippe Moser πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 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