Let {pm(wα)}m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight wα(x)=e−x2∣x∣α. The authors study extended Lagrange interpolation processes essentially based on the zeros of pm(wα)pm+1(wα), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.
Extended Lagrange interpolation on the real line
OCCORSIO, Donatella;RUSSO, Maria Grazia
2014-01-01
Abstract
Let {pm(wα)}m be the sequence of the polynomials orthonormal w.r.t. the Sonin-Markov weight wα(x)=e−x2∣x∣α. The authors study extended Lagrange interpolation processes essentially based on the zeros of pm(wα)pm+1(wα), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.File in questo prodotto:
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