Doron S. Lubinsky, Edward B. Saff

Strong Asymptotics for Extremal Polynomials Associated with Weights on R (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 156
• Erscheinungstermin: 14. November 2006
• Englisch
• ISBN-13: 9783540388579
• Artikelnr.: 53381973

Inhaltsangabe

Notation and index of notation.- Statement of main results.- Weighted polynomials and zeros of extremal polynomials.- Integral equations.- Polynomial approximation of potentials.- Infinite-finite range inequalities and their sharpness.- The largest zeros of extremal polynomials.- Further properties of Un, R(x).- Nth root asymptotics for extremal polynomials.- Approximation by certain weighted polynomials, I.- Approximation by certain weighted polynomials, II.- Bernstein's formula and bernstein extremal polynomials.- Proof of the asymptotics for Enp(W).- Proof of the asymptotics for the Lp extremal polynomials.- The case p=2 : Orthonormal polynomials.