Abstract.
It is shown that a conjecture of E. A. Rakhmanov is true concerning the zero distribution of orthogonal polynomials with respect to a measure having a discrete real support. We also discuss the case of extremal polynomials with respect to some discrete L p -norm, 0 < p ≤∈fty , and give an extension to complex supports.
Furthermore, we present properties of weighted Fekete points with respect to discrete complex sets, such as the weighted discrete transfinite diameter and a weighted discrete Bernstein—Walsh-like inequality.
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August 24, 1998. Date revised: March 26, 1999. Date accepted: April 27, 1999.
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Beckermann, B. On a Conjecture of E. A. Rakhmanov. Constr. Approx. 16, 427–448 (2000). https://doi.org/10.1007/s003659910018
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DOI: https://doi.org/10.1007/s003659910018