The growth of polynomials outside of a compact set - the Bernstein-Walsh inequality revisited

Klaus Schiefermayr

doi:10.1016/j.jat.2017.07.007

The growth of polynomials outside of a compact set - the Bernstein-Walsh inequality revisited

Klaus Schiefermayr

Research Center Wels

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

6 Zitate (Scopus)

Abstract

In this paper, we present a new and simple proof of the classical Bernstein–Walsh inequality. Based on this proof, we give some improvements for this inequality in the case that the corresponding compact set is real.

Originalsprache	Englisch
Seiten (von - bis)	9-18
Seitenumfang	10
Fachzeitschrift	Journal of Approximation Theory
Jahrgang	223
Ausgabenummer	1
DOIs	https://doi.org/10.1016/j.jat.2017.07.007
Publikationsstatus	Veröffentlicht - Nov. 2017

Zugriff auf Dokument

10.1016/j.jat.2017.07.007

Andere Dateien und Links

pdf

Link zur Publikation in Scopus

Zitieren

@article{b8bd0c58328c43739b5983a23fe0dbd6,

title = "The growth of polynomials outside of a compact set - the Bernstein-Walsh inequality revisited",

abstract = "In this paper, we present a new and simple proof of the classical Bernstein–Walsh inequality. Based on this proof, we give some improvements for this inequality in the case that the corresponding compact set is real.",

keywords = "Bernstein–Walsh inequality, Green function, Inverse polynomial image, Logarithmic capacity",

author = "Klaus Schiefermayr",

year = "2017",

month = nov,

doi = "10.1016/j.jat.2017.07.007",

language = "English",

volume = "223",

pages = "9--18",

journal = "Journal of Approximation Theory",

issn = "0021-9045",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - The growth of polynomials outside of a compact set - the Bernstein-Walsh inequality revisited

AU - Schiefermayr, Klaus

PY - 2017/11

Y1 - 2017/11

N2 - In this paper, we present a new and simple proof of the classical Bernstein–Walsh inequality. Based on this proof, we give some improvements for this inequality in the case that the corresponding compact set is real.

AB - In this paper, we present a new and simple proof of the classical Bernstein–Walsh inequality. Based on this proof, we give some improvements for this inequality in the case that the corresponding compact set is real.

KW - Bernstein–Walsh inequality

KW - Green function

KW - Inverse polynomial image

KW - Logarithmic capacity

UR - https://www.scopus.com/pages/publications/85027580762

U2 - 10.1016/j.jat.2017.07.007

DO - 10.1016/j.jat.2017.07.007

M3 - Article

SN - 0021-9045

VL - 223

SP - 9

EP - 18

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 1

ER -

The growth of polynomials outside of a compact set - the Bernstein-Walsh inequality revisited

Abstract

Zugriff auf Dokument

Andere Dateien und Links

Fingerprint

Zitieren