The Lebesgue constant for the periodic Franklin system
The Lebesgue constant for the periodic Franklin system
We identify the torus with the unit interval $[0,1)$ and let $n,\nu\in\mathbb{N}$ with $0\leq \nu\leq n-1$ and $N:=n+\nu$. Then we define the (partially equally spaced) knots \[ t_{j}=\begin{cases} {j}/({2n})&\text{for $j=0,\ldots,2\nu$,}\\ ({j-\nu})/{n}&