New answers tagged isoperimetric-problems
10
votes
Accepted
An inequality that may be of isoperimetric nature
Since $f$ has zero mean, we have $f=F'$ for a continuous $F$ on the circle. Then for the curve $\gamma(t)=(F(t), g(t)) $ the integral $\int \sqrt{F'^2+g'^2}$ is the length, and the integral $\int fg=\...
- 109k
Top 50 recent answers are included