English

Cosine polynomials with restrictions on their algebraic representation

Classical Analysis and ODEs 2022-08-05 v1

Abstract

We prove that for any even algebraic polynomial pp one can find a cosine polynomial with an arbitrary small l1l_1-norm of coefficients such that the first coefficients of its representation as an algebraic polynomial in cosx\cos x coincide with those of pp.

Keywords

Cite

@article{arxiv.2208.02583,
  title  = {Cosine polynomials with restrictions on their algebraic representation},
  author = {Kristina Oganesyan},
  journal= {arXiv preprint arXiv:2208.02583},
  year   = {2022}
}

Comments

17 pages

R2 v1 2026-06-25T01:28:31.579Z