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strong asymptotics for extremal polynomials associated with weights on r (in English)
Lubinsky,Saff (Author)
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strong asymptotics for extremal polynomials associated with weights on r (in English) - lubinsky,saff
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Synopsis "strong asymptotics for extremal polynomials associated with weights on r (in English)"
the aim of this research monograph is to establish strong, or szegö type asymptotics for extremal polynomials associated with weights w(x) := exp (-q(x)) on . while the q(x) treated are fairly general - even and of smooth polynomial growth at infinity - a typical example is q(x) := , > 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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The book is written in English.
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