✦ LIBER ✦

Weak behaviour of Fourier-Jacobi series

✍ Scribed by JoséJ Guadalupe; Mario Pérez; Juan L Varona

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 786 KB
Volume: 61
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(90)90005-b

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Weighted Weak Behaviour of Fourier-Jacob

Weighted Weak Behaviour of Fourier-Jacobi Series

✍ José J. Guadalupe; Mario Pérez; Juan L. Varona 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 503 KB

## Abstract Let __w__(__x__) = (1 ‐ __x__)^α^ (1 + __x__)^β^ be a Jacobi weight on the interval [‐1, 1] and 1 < __p__ < ∞. If either α > −1/2 or β > −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~

Uniform Convergence of Fourier–Jacobi Se

Uniform Convergence of Fourier–Jacobi Series

✍ George Kvernadze 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 193 KB

On Fourier Series of a Discrete Jacobi–S

On Fourier Series of a Discrete Jacobi–Sobolev Inner Product

✍ F. Marcellán; B.P. Osilenker; I.A. Rocha 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 210 KB

Mean and Weak Convergence of Fourier-Bes

Mean and Weak Convergence of Fourier-Bessel Series

✍ J.J. Guadalupe; M. Perez; F.J. Ruiz; J.L. Varona 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 523 KB

On absolute convergence of Jacobi series

✍ H. Bavinck 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 461 KB

Nonnegative Fourier–Jacobi Coefficients

Nonnegative Fourier–Jacobi Coefficients and Some Classes of Functions

✍ Semyon Rafalson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 340 KB

Fourier Jacobi series with nonnegative Fourier Jacobi coefficients are considered. Under special restrictions on the Jacobi weight function, we establish in terms of Fourier Jacobi coefficients a necessary and sufficient condition in order that the sum of the Fourier Jacobi series should possess cer