Strong Asymptotics for Extremal Polynomials Associated with Weights on R
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Beschreibung
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.
Autor*in
Doron S. Lubinsky
Themen in »Strong Asymptotics for Extremal Polynomials Associated with Weights on R«
DEX Finite Sharp approximation approximation theory boundary element method complex analysis eXist equation extrema form integral integral equation orthogonal polynomials proof