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Strong Asymptotics for Extremal Polynomials Associated with Weights on R (1988)
by Lubinsky, Doron S
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Description
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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Product Details
- Mar 9, 1988 Pub Date:
- 3540189580 ISBN-10:
- 9783540189589 ISBN-13:
- English Language
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