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arXiv · 2208.02583

Cosine polynomials with restrictions on their algebraic representation

Kristina Oganesyan
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Abstract

We prove that for any even algebraic polynomial $p$ one can find a cosine polynomial with an arbitrary small $l_1$-norm of coefficients such that the first coefficients of its representation as an algebraic polynomial in $\cos x$ coincide with those of $p$.

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Kristina Oganesyan. 2022-08-04. Cosine polynomials with restrictions on their algebraic representation. https://doi.org/10.1016/j.jat.2022.105802

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