A density result concerning inverse polynomial images

Klaus Schiefermayr

doi:10.1090/s0002-9939-2013-11770-3

A density result concerning inverse polynomial images

Klaus Schiefermayr^*

^*Corresponding author for this work

Research Center Wels

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider polynomials of degree n for which the inverse image of [-1, 1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an O (1/n)-net in the complex plane.

Original language	English
Pages (from-to)	539-545
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	2
DOIs	https://doi.org/10.1090/s0002-9939-2013-11770-3
Publication status	Published - 2014

Keywords

Density result
Inverse polynomial image
Jacobian elliptic function
Jordan arc

Access to Document

10.1090/s0002-9939-2013-11770-3

Cite this

@article{7d4c9bf2e32e4e5ba81d44126c84df52,

title = "A density result concerning inverse polynomial images",

abstract = "In this paper, we consider polynomials of degree n for which the inverse image of [-1, 1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an O (1/n)-net in the complex plane.",

keywords = "Density result, Inverse polynomial image, Jacobian elliptic function, Jordan arc",

author = "Klaus Schiefermayr",

year = "2014",

doi = "10.1090/s0002-9939-2013-11770-3",

language = "English",

volume = "142",

pages = "539--545",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - A density result concerning inverse polynomial images

AU - Schiefermayr, Klaus

PY - 2014

Y1 - 2014

N2 - In this paper, we consider polynomials of degree n for which the inverse image of [-1, 1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an O (1/n)-net in the complex plane.

AB - In this paper, we consider polynomials of degree n for which the inverse image of [-1, 1] consists of two Jordan arcs. We prove that the four endpoints of these arcs form an O (1/n)-net in the complex plane.

KW - Density result

KW - Inverse polynomial image

KW - Jacobian elliptic function

KW - Jordan arc

UR - https://www.scopus.com/pages/publications/84889044303

U2 - 10.1090/s0002-9939-2013-11770-3

DO - 10.1090/s0002-9939-2013-11770-3

M3 - Article

SN - 0002-9939

VL - 142

SP - 539

EP - 545

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

A density result concerning inverse polynomial images

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this