On the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-20
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let G⊂ℂ be a domain bounded by a piecewise analytic Jordan's curve L, and let Fn,p denote the p-Faber polynomials associated with G.
We derive estimates of the form Fn,p(z)=O(1/nη), (n→∞) for z∈G, where η depends on geometric properties of L and the parameter p.
Also, we show that O cannot be replaced by o in the relation given above.
American Psychological Association (APA)
Tunc, T.& Kucukaslan, M.. 2011. On the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-458555
Modern Language Association (MLA)
Tunc, T.& Kucukaslan, M.. On the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary. ISRN Applied Mathematics No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-458555
American Medical Association (AMA)
Tunc, T.& Kucukaslan, M.. On the Asymptotic Behavior of p-Faber Polynomials for Domains with Piecewise Analytic Boundary. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-458555
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458555