Obtaining a function of bounded coarse variation by a change of variable (Q1084523)

Two papers have applied the Kurzweil-Henstock theory of the Riemann integral to define integrals useful for numerical quadratures: \textit{S. Haber} and \textit{O. Shisha} [J. Approximation Theory 11, 1-15 (1974; Zbl 0277.65008)], the author and \textit{O. Shisha} [ibid. 17, 150-165 (1976; Zbl 0353.65015)]. In both cases the class of integrable functions is a subset of the Cauchy-Riemann integrable functions. In this paper the author shows that any Cauchy-Riemann integrable function can be transformed into one of the class of integrable functions by a continuously differentiable change of variable.