Diff selection: Mark the radio buttons of the revisions to compare and hit enter or the button at the bottom.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.
| rev | Bot | (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div>Given a convex function <math>f:\mathbb R\to\mathbb R</math>, prove that we have the following Jensen inequality, for any <math>x_1,\ldots,x_N\in\mathbb R</math>, and any <math>\lambda_1,\ldots,\lambda_N > 0</math> summing up to <math>1</math>, <math display="block"> f(\lambda_1x_1+\ldots+\lambda_Nx_N)\leq\lambda_1f(x_1)+\ldots+\lambda_Nx_N </math> with equality when <math>x_1=\ldots=x_N</math>. In pa...") | Apr 20'25 at 1:30 | +922 |