New posts in Bounded Variation

Show that $\gamma:[a,b]\rightarrow \mathbb{C}$ has bounded variation iff exists $h:[0,1]\rightarrow [a,b]$ with $\gamma \circ h$ Lipschitz.

Characterizing BV functions via the Stieltjes integral

Lipschitz function $f\colon A \to \mathbb{R}$, $A \subseteq \mathbb{R}$ measurable.

Examples of differentiable functions that are not of bounded variation

Does bounded variation imply boundedness

If a function $f(x)$ is Riemann integrable on $[a,b]$, is $f(x)$ bounded on $[a,b]$?

Is $f(x)=x\sin(\frac{1}{x})$ with $f(0)=0$ of bounded variation on $[0,1]$?

If $f$ is of bounded variation is $f$ Riemann integrable?

Continuous and bounded variation does not imply absolutely continuous