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Strong Asymptotics For Extremal Polynomials Associated With Weights On R (Vol. 1305)

Strong Asymptotics For Extremal Polynomials Associated With Weights On R (Vol. 1305)

by Doron S. Lubinsky , Edward B. Saff
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Book cover type: Paperback
  • ISBN13: 9783540189589
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer V
  • Publication Date:
  • Pages: 165
  • Original Price: 24.99 EUR
  • Language: English
  • Edition: N/A
  • Item Weight: 245 grams

About the Book 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.