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

Any de publicació: 1990

Volum: 61

Número: 2

Pàgines: 222-238

Tipus: Article

SCOPUS: 2-s2.0-38249018207 GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Journal of Approximation Theory

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Resum

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.