2020-11-23から1日間の記事一覧
定理1. (Markov 兄弟の不等式) $\lVert f\rVert\coloneqq\displaystyle\max_{-1\leqq x\leqq1}|f(x)|$ と定め, $p$ を $n$ 次以下の多項式, $T_n(x)$ を第一種 Chebyshev 多項式とすると, $$\lVert p^{(k)}\rVert\leqq\lVert T_n^{(k)}\rVert\lVert p\rVert$…
By its nature, the expensive habit is not only physically gratifying but also beyond the financial reach of all but a fortunate few, thus making it a treat for the mind as well as the body. There is no lasting satisfaction to be gained fro…