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

Revista:
Journal of Approximation Theory

ISSN: 0021-9045

Ano de publicación: 1990

Volume: 61

Número: 2

Páxinas: 222-238

Tipo: Artigo

SCOPUS: 2-s2.0-38249018207 GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Journal of Approximation Theory

Repositorio institucional: lock_openAcceso aberto Editor lock_openAcceso aberto Postprint

Resumo

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.