On Bernstein's inequality for polynomials
Classical Analysis and ODEs
2019-03-27 v1
Abstract
Bernstein's classical inequality asserts that given a trigonometric polynomial of degree , the sup-norm of the derivative of does not exceed times the sup-norm of . We present various approaches to prove this inequality and some of its natural extensions/variants, especially when it comes to replacing the sup-norm with the .
Keywords
Cite
@article{arxiv.1903.10801,
title = {On Bernstein's inequality for polynomials},
author = {Hervé Queffélec and Rachid Zarouf},
journal= {arXiv preprint arXiv:1903.10801},
year = {2019}
}