On sharp constants in one-dimensional embedding theorems of arbitrary order
Classical Analysis and ODEs
2013-08-13 v1
Abstract
We discuss the problem where the extremal function in embedding theorem of some (generally speaking, non-integer) order is the constant function. We obtain the necessary and sufficient conditions of this.
Cite
@article{arxiv.1308.2259,
title = {On sharp constants in one-dimensional embedding theorems of arbitrary order},
author = {Alexander I. Nazarov},
journal= {arXiv preprint arXiv:1308.2259},
year = {2013}
}
Comments
Translation of the paper published in Russian in the collected volume "Problems of contemporary approximation theory", St.Petersburg Univ. Publishers, 2004, 146--158. Some comments are added