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Více informací o knize Strong Asymptotics for Extremal Polynomials Associated with Weights on R

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Strong Asymptotics for Extremal Polynomials Associated with Weights on R
• Autor: Doron S. Lubinsky, Edward B. Saff
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 156
• EAN: 9783540189589
• ISBN: 3540189580
• ID: 01558506
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 540 g
• Rozměry: 235 × 155 × 10 mm

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