TY - JOUR AU - Ng, Wee Leng AU - Lee, Peng Yee PY - 2018/12/31 Y2 - 2024/03/29 TI - An Alternative Definition of the Henstock-Kurzweil Integral Using Primitives JF - New Zealand Journal of Mathematics JA - NZ J Math VL - 48 IS - 0 SE - Articles DO - 10.53733/31 UR - https://www.nzjmath.org/index.php/NZJMATH/article/view/31 SP - 121-128 AB - <p>We introduce the notion of an <span class="texhtml"><em>H</em></span>-primitive being the limit of a sequence of absolutely continuous functions satisfying certain conditions and use it to formulate an alternative definition of the Henstock-Kurzweil integral on a closed bounded interval. Furthermore, the definition provides a characterisation of the primitive of a Henstock-Kurzweil integrable function.</p> ER -