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

Zeitschrift:
Journal of Approximation Theory

ISSN: 0021-9045

Datum der Publikation: 1990

Ausgabe: 61

Nummer: 2

Seiten: 222-238

Art: Artikel

SCOPUS: 2-s2.0-38249018207 GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Journal of Approximation Theory

Institutionelles Repository: lock_openOpen Access Editor lock_openOpen Access Postprint

Zusammenfassung

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.