Optimal parametrization of truncated generalized Laguerre series

نویسندگان

  • Harm J. W. Belt
  • Albertus C. den Brinker
چکیده

In this paper we address the problem of approximating functions on a semi-in nite interval by truncated series of orthonormal generalized Laguerre functions. The generalized Laguerre functions contain two parameters, namely a scale factor and an order of generalization. The rate of convergence of a generalized Laguerre series depends on the choice of these parameters. Results concerning the determination of the two parameters are presented.

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تاریخ انتشار 1997