A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities
Classical Analysis and ODEs
2022-12-26 v1
Abstract
Let be a symmetric convex body in . We prove sharp Bernstein-type inequalities for entire functions of exponential type with the spectrum in and discuss certain properties of the extremal functions. Markov-type inequalities with sharp constants for algebraic polynomials on and certain non-symmetric convex bodies are proved as well.
Cite
@article{arxiv.2212.12480,
title = {A Note on Sharp Multivariate Bernstein- and Markov-Type Inequalities},
author = {Michael I. Ganzburg},
journal= {arXiv preprint arXiv:2212.12480},
year = {2022}
}