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Estimates of Lebesgue functions and remainders of Fourier-Jacobi series

✍ 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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## Abstract Let __w__(__x__) = (1 ‐ __x__)^Ξ±^ (1 + __x__)^Ξ²^ be a Jacobi weight on the interval [‐1, 1] and 1 < __p__ < ∞. If either Ξ± > βˆ’1/2 or Ξ² > βˆ’1/2 and __p__ is an endpoint of the interval of mean convergence of the associated Fourier‐Jacobi series, we show that the partial sum operators __S~