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

Aldizkaria:
Journal of Approximation Theory

ISSN: 0021-9045

Argitalpen urtea: 1990

Alea: 61

Zenbakia: 2

Orrialdeak: 222-238

Mota: Artikulua

Beste argitalpen batzuk: Journal of Approximation Theory

Gordailu instituzionala: lock_openSarbide irekia Editor lock_openSarbide irekia Postprint

Laburpena

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.