Convergence of Lagrange Interpolation for Freud Weights in Weighted Lp(ℝ), 0 <P ≤ 1
Chapter
Abstract
We determine the necessary and sufficient conditions for convergence in weighted L p (ℝ), 0 < p ≤ 1 of Lagrange Interpolation to a certain class of continuous functions taken at the zeros of orthonormal polynomials associated with Freud Weights of type\({W_\beta }(x): = \exp ( - {\left| x \right|^\beta }/2),\), x∈ ℝ, and β>1.
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