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

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

6 Citations (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.

Original language	English
Pages (from-to)	9-18
Number of pages	10
Journal	Journal of Approximation Theory
Volume	223
Issue number	1
DOIs	https://doi.org/10.1016/j.jat.2017.07.007
Publication status	Published - Nov 2017

Keywords

Bernstein–Walsh inequality
Green function
Inverse polynomial image
Logarithmic capacity

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10.1016/j.jat.2017.07.007

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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",

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KW - Bernstein–Walsh inequality

KW - Green function

KW - Inverse polynomial image

KW - Logarithmic capacity

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

Abstract

Keywords

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