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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© 1994 Springer Science+Business Media Dordrecht
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Matjila, D.M. (1994). Convergence of Lagrange Interpolation for Freud Weights in Weighted L p (ℝ), 0 <P ≤ 1 . In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation II. Mathematics and Its Applications, vol 296. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0970-3_3
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DOI: https://doi.org/10.1007/978-94-011-0970-3_3
Publisher Name: Springer, Dordrecht
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