IUMJ

Title: Negligible variation and the change of variables theorem

Authors: Vermont Rutherfoord and Yoram Sagher

Issue: Volume 61 (2012), Issue 1, 31-44

Abstract:

In this note we prove a necessary and sufficient condition for the change of variables formula for the HK integral, with implications for the change of variables formula for the Lebesgue integral. As a corollary, we obtain a necessary and sufficient condition for the Fundamental Theorem of Calculus to hold for the HK integral.