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Extremal polynomials on a Jordan arc
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- Alpan, Gökalp (author)
- Uppsala universitet,Analys och partiella differentialekvationer
- (creator_code:org_t)
- Elsevier, 2022
- 2022
- English.
- In: Journal of Approximation Theory. - : Elsevier. - 0021-9045 .- 1096-0430. ; 276
- Journal article (peer-reviewed)
Abstract
Subject headings
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- Let gamma be a C2+ Jordan arc and let gamma(0) be the open arc which consists of interior points of gamma. We find concrete upper and lower bounds for the limit of Widom factors for L-2(mu) extremal polynomials on gamma & nbsp;which was given in Widom (1969). In addition, we show that the upper bound for the limit supremum of Widom factors for the weighted Chebyshev polynomials which was obtained in Widom (1969) can be improved once two normal derivatives of the Green function do not agree at one point z is an element of gamma(0). We also show that if gamma(0) is not analytic then we have improved upper bounds.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Widom factors
- Chebyshev polynomials
- Orthogonal polynomials
- Extremal polynomials
- Jordan arc
Publication and Content Type
- ref (subject category)
- art (subject category)
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