2 problems

For $f(t)=|\sin(\pi t)|$, let $c(1)$ denote the associated transfer-operator constant. Exact-value conjecture. … The paper notes that the exact value of $c(1)$ is not known and obt…

Conjecture. These three inequalities hold for all real $x>2$, rather than only for integers $n\geq 3$. The proposed extension is motivated by the graphs of the corresponding functi…