ABSTRACT

This chapter explains how to determine a primitive function by its generalized derivative with respect to an arbitrary continuous function. A continuous function is determined, to within an additive constant, by its generalized right (left) derivative with respect to a continuous function, provided that the derivative exists and is finite at each point of the interval. The aim is to construct a continuous non-decreasing function such that its generalized right derivative with respect to a continuous function is identically equal to zero.