证明:赫尔德不等式

A . DNA分子杂交技术 B . 基因文库构建技术 C . 单克隆抗体 D . 放射性同位素标记技术

<img src='https://img2.soutiyun.com/ask/2021-01-13/979386185716281.png' />

设n为正整数,证明不等式<img src='https://img2.soutiyun.com/ask/2020-12-12/976625365926413.png' />.

<img src='https://img2.soutiyun.com/ask/2021-02-25/983103268676467.png' />

<img src='https://img2.soutiyun.com/ask/2021-02-03/981199421509171.png' />

<img src='https://img2.soutiyun.com/ask/2020-08-17/966519866012407.png' />

<img src='https://img2.soutiyun.com/ask/2020-09-14/968966909120971.png' />

试证明下列逻辑恒等式(方法不限): <img src='https://img2.soutiyun.com/ask/2021-01-21/980080827718427.png' />

利用曲线的凹凸性证明不等式:<img src='https://img2.soutiyun.com/ask/2020-10-27/972646728458397.png' />其中χ＞0,y＞0且χ≠y.

<img src='https://img2.soutiyun.com/ask/2020-12-16/976958738338061.png' />

<img src='https://img2.soutiyun.com/ask/2020-10-12/97136417947982.png' />

<img src='https://img2.soutiyun.com/ask/2020-09-14/968966896570254.png' />

<img src='https://img2.soutiyun.com/ask/2020-08-03/965292956827993.png' />

设<img src='https://img2.soutiyun.com/ask/2021-01-18/979825414936649.png' />是(0，+∞)内的单调减少函数，证明：对任何满足λ+μ=1的正数入，μ及x∈(0，+∞)有下列不等式成立： <img src='https://img2.soutiyun.com/ask/2021-01-18/979825452031771.png' /> 并由此证明：对任何正数a，b，有下列不等式成立： f(a+b)≤f(a)+f(b).

<img src='https://img2.soutiyun.com/ask/2021-01-10/979154285328055.png' />

证明<img src='https://img2.soutiyun.com/ask/2021-01-28/980697697392064.png' />在什么条件下等式成立？

<img src='https://img2.soutiyun.com/ask/2020-11-11/973977284012324.png' />

证明:<img src='https://img2.soutiyun.com/ask/2020-11-12/974064767073752.jpg' />有不等式<img src='https://img2.soutiyun.com/ask/2020-11-12/974064780959546.png' />