Strong Asymptotics for Extremal Polynomials Associated with Weights on R (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
156
Utgivningsdatum
1988-03-01
Upplaga
1988 ed.
Förlag
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Medarbetare
Saff, Edward
Illustrationer
VIII, 156 p.
Dimensioner
234 x 156 x 9 mm
Vikt
245 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783540189589
Strong Asymptotics for Extremal Polynomials Associated with Weights on R (häftad)

Strong Asymptotics for Extremal Polynomials Associated with Weights on R

Häftad Engelska, 1988-03-01
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0. The results are consequences of a strengthened form of the following assertion: Given 0 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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  1. Strong Asymptotics for Extremal Polynomials Associated with Weights on R
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  3. Methods of Approximation Theory in Complex Analysis and Mathematical Physics

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Innehållsförteckning

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.