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Cosine polynomials with restrictions on their algebraic representationстатья
- Автор: Oganesyan Kristina
- Журнал: Journal of Approximation Theory
- Том: 281
- Год издания: 2022
- Издательство: Academic Press
- Местоположение издательства: United States
- DOI: 10.1016/j.jat.2022.105802
- Аннотация: 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 $p$.
- Добавил в систему: Оганесян Кристина Артаковна