A Tangential Markov Inequality on Exponential Curves
复变函数
2007-05-23 v1 泛函分析
摘要
We show that on the curves y=e^{t(x)} where t(x) is a fixed polynomial, there holds a tangential Markov inequality of exponent four. Specifically, for the real interval [a,b] there is a constant C such that max_{x\in [a,b]}|\frac{d}{dx}P(x,e^{t(x)})|\leq C(deg(P))^{4} max_{x\in [a,b]}|P(x,e^{t(x)})| for all bivariate polynomials P(x,y).
引用
@article{arxiv.math/0104238,
title = {A Tangential Markov Inequality on Exponential Curves},
author = {L. P. Bos and A. Brudnyi and N. Levenberg},
journal= {arXiv preprint arXiv:math/0104238},
year = {2007}
}