Strong Asymptotics for Extremal Polynomials Associated with Weights on ℝ

1988 ◽  
Author(s):  
Doron S. Lubinsky ◽  
Edward B. Saff
Keyword(s):  
Strong Asymptotics ◽  
Extremal Polynomials

scholarly journals Szegö Asymptotics of Extremal Polynomials on the Segment [–1, +1]: The Case of a Measure with Finite Discrete Part

2007 ◽  
Vol 14 (4) ◽  
pp. 673-680
Author(s):  
Rabah Khaldi
Keyword(s):  
Complex Plane ◽  
Strong Asymptotics ◽  
Extremal Polynomials ◽  
Finite Set ◽  
Discrete Part ◽  
Szego Asymptotics

Abstract The strong asymptotics of monic extremal polynomials with respect to the norm 𝐿𝑝(σ) are studied. The measure σ is concentrated on the segment [–1, 1] plus a finite set of mass points in a region of the complex plane exterior to the segment [–1, 1].

scholarly journals Strong asymptotics forLpextremal polynomials off a complex curve

2004 ◽  
Vol 2004 (5) ◽  
pp. 371-378 ◽  
Author(s):  
Rabah Khaldi
Keyword(s):  
Asymptotic Behavior ◽  
Complex Plane ◽  
Jordan Curve ◽  
Infinite Number ◽  
Discrete Measure ◽  
Strong Asymptotics ◽  
Complex Curve ◽  
Extremal Polynomials

We study the asymptotic behavior ofLp(σ)extremal polynomials with respect to a measure of the formσ=α+γ, whereαis a measure concentrated on a rectifiable Jordan curve in the complex plane andγis a discrete measure concentrated on an infinite number of mass points.

scholarly journals Caustics of Poncelet Polygons and Classical Extremal Polynomials

2019 ◽  
Vol 24 (1) ◽  
pp. 1-35 ◽  
Author(s):  
Vladimir Dragović ◽  
Milena Radnović
Keyword(s):  
Extremal Polynomials ◽  
Poncelet Polygons

scholarly journals Strong asymptotics for the Pollaczek multiple orthogonal polynomials

2015 ◽  
Vol 92 (3) ◽  
pp. 709-713
Author(s):  
A. I. Aptekarev ◽  
G. López Lagomasino ◽  
A. Martínez-Finkelshtein
Keyword(s):  
Orthogonal Polynomials ◽  
Strong Asymptotics ◽  
Multiple Orthogonal Polynomials
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