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Strong asymptotics for extremal polynomials associated with weights on IR

Author: D S Lubinsky; E B Saff
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in mathematics (Springer-Verlag), 1305.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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

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Genre/Form: Gewichtete polynomiale Approximation
Additional Physical Format: Online version:
Lubinsky, D.S. (Doron Shaul), 1955-
Strong asymptotics for extremal polynomials associated with weights on IR.
Berlin ; New York : Springer-Verlag, ©1988
(OCoLC)624342739
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: D S Lubinsky; E B Saff
ISBN: 0387189580 9780387189581 3540189580 9783540189589
OCLC Number: 17620763
Description: vii, 153 pages ; 25 cm.
Contents: 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.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1305.
Responsibility: D.S. Lubinsky, E.B. Staff.
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