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Strong Asymptotics for Extremal Polynomials Associated with Weights on ℝ [electronic resource] /
0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, 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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| Main Authors: | , , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1988
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| Subjects: | Mathematics., Numerical analysis., Numerical Analysis., |
| Online Access: | http://dx.doi.org/10.1007/BFb0082413 |
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