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 May 7 answered $\log|x|\in\text{BMO}(\mathbb R^n)$ Apr 29 asked Is $\int_{\mathbb R} f(\sum_{k=1}^n\frac{1}{x-x_k})dx$ independent of $x_k$'s for certain $f$? Apr 28 answered On the inequality $\int_{-\infty}^{+\infty}\frac{(p'(x))^2}{(p'(x))^2+(p(x))^2}\,dx \le n^{3/2}\pi.$ Apr 4 answered Vector spaces and intersections Mar 9 answered A beautiful inequality for convex functions Nov 1 answered prove $f(x)$ has at least $2n$ roots Oct 23 answered Limit of $x_n/n$ for sequences of the form $x_{n+1}=x_n+1/x_n^p$ Oct 22 answered A Problem on Improper Integrals Oct 22 answered For a closed plane curve, showing some inequalities. Oct 21 answered Computing a limit almost surely using the strong law of large numbers Oct 21 answered convergence of total variation measure Oct 20 answered Order of Double Coset Oct 18 answered If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational Oct 17 answered Show that $\int_{1}^\infty \dotsb\int_{1}^\infty \frac{dx_1 \dotsb dx_n}{x_1^{\alpha_1}+\dotsb + x_n^{\alpha_n}}<\infty$ Oct 16 answered Inequality involving partial sums of $\frac{|\sin{kx}|}{k}$ Oct 11 answered Functions satisfying $(b-a)f'(\tfrac{a+b}{2}) = f(b)- f(a)$ Oct 7 answered How prove this $f(a)\le f(b)$ Oct 2 answered How find this$\frac{1}{{{p}_{1}}}+\frac{1}{{{p}_{2}}}+…+\frac{1}{{{p}_{n}}}<10$ Sep 30 answered How prove this mathematical analysis by zorich from page 233 Sep 30 answered How to prove that there exists $g(x)$ such $\int_{0}^{1}g(x)dx\ge\frac{1}{2}\int_{0}^{1}f(x)dx$