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Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line. (English) Zbl 1106.41031

Summary: For a wide class of Sobolev type norms with respect to measures with unbounded support on the real line, the contracted zero distribution and the logarithmic asymptotic of the corresponding re-scaled Sobolev orthogonal polynomials is given.

MSC:

41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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References:

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