论文标题
余弦多项式对其代数表示限制
Cosine polynomials with restrictions on their algebraic representation
论文作者
论文摘要
我们证明，对于任何代数多项式$ p $，一个人都可以找到具有任意小$ l_1 $ norm系数的余弦多项式，从而使其表示为代数多项式的第一个代表性的系数在$ \ cos x $中与$ p $ coccience cocciend。
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 $p$.
