Article ID Journal Published Year Pages File Type
4639100 Journal of Computational and Applied Mathematics 2014 11 Pages PDF
Abstract

Let {pm(wα)}m{pm(wα)}m be the sequence of the polynomials orthonormal w.r.t. the Sonin–Markov weight wα(x)=e−x2|x|αwα(x)=e−x2|x|α. The authors study extended Lagrange interpolation processes essentially based on the zeros of pm(wα)pm+1(wα)pm(wα)pm+1(wα), determining the conditions under which the Lebesgue constants, in some weighted uniform spaces, are optimal.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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