Orthogonal polynomials for exponential weights on , II |
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Authors: | Eli Levin Doron Lubinsky |
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Affiliation: | aMathematics Department, The Open University of Israel, P.O. Box 808, Raanana 43107, Israel;bThe School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA |
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Abstract: | Let I=[0,d), where d is finite or infinite. Let Wρ(x)=xρexp(-Q(x)), where and Q is continuous and increasing on I, with limit ∞ at d. We obtain further bounds on the orthonormal polynomials associated with the weight , finer spacing on their zeros, and estimates of their associated fundamental polynomials of Lagrange interpolation. In addition, we obtain weighted Markov and Bernstein inequalities. |
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Keywords: | |
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