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Results tagged with real-analysis
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user 38620
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
2
votes
1
answer
304
views
Logarithmic and polynomial functions with two roots
This is a question that I came across a few days ago，Although it is not particularly like a research problem, the following problem is that I study the zero distribution of a class of elementary trans …
- 4,280
5
votes
2
answers
922
views
How to show this symmetric function inequality
Question: let $x_{i}>0$ $(i=1,2,\cdots,n)$, such that $x_{i}\neq x_{j},\forall i\neq j$, find all real numbers $p$ that satisfy the following inequality
$$\sum_{i=1}^{n}\dfrac{x^p_{i}}{\prod_{j\neq i} …
- 4,280
24
votes
4
answers
1k
views
show this nice and hard inequality with $ \prod_{i=1}^{n}|x_{i}-y_{i}|<e^{\frac{n}{2}}$
I saw the following results in a book. The author said it was not difficult to prove how I felt it was difficult to prove, so I asked here. The result comes from a book that has no electronic version. …
- 4,280