Strong Asymptotics for Extremal Polynomials Associated with Weights on R (Lecture Notes in Mathematics, 1305, Band 1305) - Softcover

Lubinsky, Doron S.

Softcover

ISBN 10: 3540189580 ISBN 13: 9783540189589

Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

0. The results are consequences of a strengthened form of the following assertion: Given 0

<, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials.

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Über die Autorin bzw. den Autor

Eli Levin is an emeritus professor at the Open University of Israel in Ramat Aviv.

Doron Lubinsky is a professor at Georgia Institute of Technology. Both are authors of papers on approximation theory, and a joint monograph on orthogonal polynomials.

Details zur Ausgabe

• Verlag: Springer Berlin Heidelberg
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3540189580
• ISBN 13: 9783540189589
• Einband: Taschenbuch
• Anzahl der Seiten: 168
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