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
On the Constructive Convergence of Series of Independent Functions
β Scribed by Douglas S. Bridges
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 248 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0044-3050
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## Abstract Let \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$K/\mathbb {Q}$\end{document} be a finite Galois extension with the Galois group __G__, and let Ο be a character of __G__ with the associated Artin __L__βfunction __L__(__s__, Ο) defined in β(__s__) > 1 by t
This paper investigates the convergence condition for the polynomial approximation of rational functions and rational curves. The main result, based on a hybrid expression of rational functions (or curves), is that two-point Hermite interpolation converges if all eigenvalue moduli of a certain r\_r