### Answers (65)

 9 A sum of Fibonacci numbers 6 The upper bound of $\lim \limits_{n\to\infty} \sum \limits_{i=1}^n e^{-i}\sqrt{i}$? 5 Functional equation $(n+1) f(n+1)= (a n+b) f(n)$ for $n=0,1,…$ 4 No non-negative continuous function on $[a,b]$ such that $\int_a^b f(t)dt=1, \int_a^b tf(t)dt=c, \int_a^b t^2f(t)dt=c^2$ for $c\in\mathbb{R}$. 4 Asymptotic expansion of the sequence $u_n=\sum\limits_{k=1}^{n}e^{-b^{-k}}$

### Reputation (2,347)

 +10 Maximizing a permutation of a quadratic form +10 Interesting four-sum inequality $n^2 \left(\sum \limits_{k=1}^n \frac{k+1}{k}\right) \left( \sum \limits_{k=1}^n \frac{k}{k+1}\right) \ge…$ +10 Redux: An interesting four sum inequality (feat. probability) +10 Approximating $\sum_i \frac{a_i}{\lambda - \lambda_i} = \lambda$

### Questions (22)

 3 Vandermonde-type convolution with geometric term 2 Maximizing a permutation of a quadratic form 2 Redux: An interesting four sum inequality (feat. probability) 2 A “divide-and-conquer” iterative procedure for minimizing a sum of convex functions 2 Higher moments of linear regression residuals?

### Tags (109)

 23 probability × 31 11 limits × 4 18 inequality × 17 10 summation × 4 17 sequences-and-series × 8 9 functional-analysis × 4 15 real-analysis × 9 9 fibonacci-numbers 11 probability-theory × 11 8 calculus × 4

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