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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Strong Asymptotics for Extremal Polynomials Associated with Weights on R
• Author: Doron S. Lubinsky, Edward B. Saff
• Language: English
• Binding: Paperback
• Number of pages: 156
• EAN: 9783540189589
• ISBN: 3540189580
• ID: 01558506
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 540 g
• Dimensions: 235 × 155 × 10 mm

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