Mean Convergence of Lagrange Interpolation for Exponential weights on [-1, 1]
1998; Cambridge University Press; Volume: 50; Issue: 6 Linguagem: Inglês
10.4153/cjm-1998-062-5
ISSN1496-4279
Autores Tópico(s)Numerical methods in inverse problems
ResumoAbstract We obtain necessary and sufficient conditions for mean convergence of Lagrange interpolation at zeros of orthogonal polynomials for weights on [-1, 1], such as w(x) = exp(-(1 - x 2 ) -α ), α > 0 or w(x) = exp(-exp k (1 - x 2 ) -α ), k≥1, α > 0, where exp k = exp(exp(. . . exp( ) . . .)) denotes the k-th iterated exponential.
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