Sharp Constants of Approximation Theory. I. Multivariate Bernstein-Nikolskii Type Inequalities
Classical Analysis and ODEs
2022-12-26 v2
Abstract
We prove limit relations between the sharp constants in the multivariate Bernstein-Nikolskii type inequalities for trigonometric polynomials and entire functions of exponential type with the spectrum in a centrally symmetric convex body.
Cite
@article{arxiv.1901.04400,
title = {Sharp Constants of Approximation Theory. I. Multivariate Bernstein-Nikolskii Type Inequalities},
author = {Michael I. Ganzburg},
journal= {arXiv preprint arXiv:1901.04400},
year = {2022}
}
Comments
20 pages, corrected typos, added references