Is there an equivalent of the Cauchy formula for repeated integration (https://en.wikipedia.org/wiki/Cauchy_formula_for_repeated_integration) for the following
\begin{equation} f^{(-n)}(x) = \int_a^x \int_a^{\sigma_1} \cdots \int_a^{\sigma_{n-1}} f(\sigma_{n}) \, \mathrm{d}g(\sigma_{n}) \cdots \, \mathrm{d}g(\sigma_2) \, \mathrm{d}g(\sigma_1) \end{equation}