Weak behaviour of Fourier-Jacobi series

  1. Guadalupe, J. 1
  2. Pérez, M. 1
  3. Varona, J.L. 1
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revue:
Journal of Approximation Theory

ISSN: 0021-9045

Année de publication: 1990

Volumen: 61

Número: 2

Pages: 222-238

Type: Article

SCOPUS: 2-s2.0-38249018207 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Journal of Approximation Theory

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Résumé

Necessary conditions for the weak convergence of Fourier series in orthogonal polynomials are given. It is shown that the partial sum operator associated with the Jacobi series is of restricted weak type, but not of weak type, for the endpoints of the mean convergence interval. © 1990.