English

Remez-type inequalities for the hyperbolic cross polynomials

Classical Analysis and ODEs 2016-06-14 v1 Numerical Analysis

Abstract

In this paper we study the Remez-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between the Remez and Nikolskii inequalities for individual functions and its applications are discussed.

Cite

@article{arxiv.1606.03773,
  title  = {Remez-type inequalities for the hyperbolic cross polynomials},
  author = {V. Temlyakov and S. Tikhonov},
  journal= {arXiv preprint arXiv:1606.03773},
  year   = {2016}
}

Comments

25 pages

R2 v1 2026-06-22T14:23:34.270Z