English

Asymptotics of the Lebesgue constants for a $d$-dimensional simplex

Classical Analysis and ODEs 2020-04-28 v1

Abstract

In this paper an asymptotic formula is given for the Lebesgue constants generated by the anisotropically dilated dd-dimensional simplex. Contrary to many preceding results established only in dimension two, the obtained ones are proved in any dimension. Also, the "rational" and "irrational" parts are both united and separated in one formula.

Keywords

Cite

@article{arxiv.2004.12236,
  title  = {Asymptotics of the Lebesgue constants for a $d$-dimensional simplex},
  author = {Yurii Kolomoitsev and Elijah Liflyand},
  journal= {arXiv preprint arXiv:2004.12236},
  year   = {2020}
}
R2 v1 2026-06-23T15:05:52.864Z