Strong Asymptotics for Extremal Polynomials Associated with Weights on R
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Strong Asymptotics for Extremal Polynomials Associated with Weights on R “
- Introduction- 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
- References
- Subject Index
Bibliographische Angaben
- Autoren: Doron S. Lubinsky , Edward B. Saff
- 1988, 1988, 156 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3540189580
- ISBN-13: 9783540189589
- Erscheinungsdatum: 09.03.1988
Sprache:
Englisch
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