Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros
Classical Analysis and ODEs
2017-07-24 v2
Abstract
Higher order Bernstein- and Markov-type inequalities are established for trigonometric polynomials on compact subsets of the real line and algebraic polynomials on compact subsets of the unit circle. In the case of Markov-type inequalities we assume that the compact set satisfies an interval condition.
Keywords
Cite
@article{arxiv.1704.07125,
title = {Higher Markov and Bernstein inequalities and fast decreasing polynomials with prescribed zeros},
author = {Sergei Kalmykov and Béla Nagy},
journal= {arXiv preprint arXiv:1704.07125},
year = {2017}
}
Comments
Revised version, figure and new references added