We study some extended Lagrange interpolation processes based on the zeros of the generalized Laguerre polynomials. We give necessary and sufficient conditions such that the convergence of these processes, in suitable L p weighted spaces on the real semiaxis, is assured for 1<p<+∞.
Mean Convergence of an Extended Lagrange Interpolation process on [0, \infty)
OCCORSIO, Donatella;RUSSO, Maria Grazia
2014-01-01
Abstract
We study some extended Lagrange interpolation processes based on the zeros of the generalized Laguerre polynomials. We give necessary and sufficient conditions such that the convergence of these processes, in suitable L p weighted spaces on the real semiaxis, is assured for 1
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