Orthogonal polynomials for weights close to indeterminacy

Authors:
E. Levin;D. S. Lubinsky
Affiliations:
Mathematics Department, The Open University of Israel, P.O. Box 808, Raanana 43107, Israel;School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA
Venue:
Journal of Approximation Theory
Year:
2007

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Abstract

We obtain estimates for Christoffel functions and orthogonal polynomials for even weights W:R-[0,~) that are 'close' to indeterminate weights. Our main example is exp-xlogx^@b, with @b real, possibly modified near 0, but our results also apply to exp-x^@alogx^@b,@a