Estimates of Lebesgue functions and remainders of Fourier-Jacobi series
β Scribed by V. M. Badkov
- Book ID
- 112711197
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 748 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
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
## Abstract Let __w__(__x__) = (1 β __x__)^Ξ±^ (1 + __x__)^Ξ²^ be a Jacobi weight on the interval [β1, 1] and 1 < __p__ < β. If either Ξ± > β1/2 or Ξ² > β1/2 and __p__ is an endpoint of the interval of mean convergence of the associated FourierβJacobi series, we show that the partial sum operators __S~