Some inequalities for characteristic density functions with bounded variation
Let \(p(x)\) be a probability distribution with the bounded variation \(V(p)\). Then its characteristic function \(f(t)\) satisfies the following inequalities \[ |f(t)|\leq\sin(t/V(p))/(t/V(p)),\;|t|\leq\pi V(p),\quad\text{and}\quad |f(t)|\leq V(p)/t,\;t\neq 0. \]
scientific article; zbMATH DE number 1818146