[Everyday Mathematics]20150105
2015-01-05 08:48
387 查看
设 $f\in C^1(a,b)$ 适合 $$\bex \lim_{x\to a^+}f(x)=+\infty,\quad \lim_{x\to b^-}f(x)=-\infty, \eex$$ 并且 $$\bex f'(x)+f^2(x)\geq -1,\quad \forall\ x\in (a,b). \eex$$ 试证: $b-a\geq \pi$.
相关文章推荐
- [Everyday Mathematics]20150106
- [Everyday Mathematics]20150115
- [Everyday Mathematics]20150203
- [Everyday Mathematics]20150211 Carlson inequality
- [Everyday Mathematics]20150224
- [Everyday Mathematics]20150116
- [Everyday Mathematics]20150225
- [Everyday Mathematics]20150204
- [Everyday Mathematics]20150205
- [Everyday Mathematics]20150227
- [Everyday Mathematics]20150117
- [Everyday Mathematics]20150122
- [Everyday Mathematics]20150206
- [Everyday Mathematics]20150305
- [Everyday Mathematics]20150107
- [Everyday Mathematics]20150118
- [Everyday Mathematics]20150123
- [Everyday Mathematics]20150207
- [Everyday Mathematics]20150108
- [Everyday Mathematics]20150119