2 problems

Let $F \in \mathcal{F}[a,b]$ and, for $x\in(a,b)$, define … Here $F(x-)$ and $F(x+)$ are the one-sided limit sets of $F$, and $\oplus$ denotes the metric combination from the cited…

Let $F\in\mathcal{F}[a,b]$, let $A_F(x)$ denote the Fourier approximation limit associated with $F$, and let $F(x-0)$ and $F(x+0)$ be the left and right limits of $F$ at $x$. Write…