English

Some notes on $L^{p}$ Bernstein inequality when $0<p<1$

Classical Analysis and ODEs 2014-09-01 v1

Abstract

Recently, Nagy-To\'okos and Totik-Varga proved an asymptotically sharp LpL^{p} Bernstein type inequality on union of finitely many intervals. We extend this inequality to the case when the power pp is between 00 and 11; such sharp Bernstein type inequality was proved first by Arestov.

Keywords

Cite

@article{arxiv.1408.7036,
  title  = {Some notes on $L^{p}$ Bernstein inequality when $0<p<1$},
  author = {Béla Nagy and Tamás Varga},
  journal= {arXiv preprint arXiv:1408.7036},
  year   = {2014}
}
R2 v1 2026-06-22T05:44:07.911Z