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

Article ID Journal Published Year Pages File Type
5773712 Journal of Approximation Theory 2017 10 Pages PDF
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
30E1041A5041A1730C8530C10Logarithmic capacityGreen function
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
The growth of polynomials outside of a compact set-The Bernstein-Walsh inequality revisited
Authors
Klaus Schiefermayr,
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Journal
Journal of Approximation Theory
Journal: Journal of Approximation Theory
Related Categories
30E10
41A50
41A17
30C85
30C10
Logarithmic capacity
Green function
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
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