New posts in Upper Lower Bounds

Determine, by its action on an orthonormal basis, whether a linear operator can be continuous

Is it possible to calculate consecutive digits of $\pi^{1/\pi}$

I want to prove that two norms are equivalent but I am struggling with an upper bound

What is the rate of growth of $M_n := \max_{1 \le i \le n} U_i^{(n)}$, where $U_i^{(n)} \sim \operatorname{Uniform}[0,n]$? Is it "constant"?

Show that $x_n = \sqrt{\sum_{k=1}^n\left(\frac{k+1}{k}\right)^2} - \sqrt n$ is a bounded sequence.

Show that $x_{n+2} = x_{n+1} + \frac{x_n}{2^n}$ is a bounded sequence

Show that $\int_0^2 \int_0^2 \frac{x}{1+\ln(x^2y^2)} \,\mathrm{d}x \,\mathrm{d}y \leq 4$

Variable in upper bound of sum

Recreational math: If $f(f(x))=e^x$, bound the integral $\int_0^1 f(x)dx$

An interesting integral $\cos(x)\cos(x^2)\cos(x^3)...$