… We discuss the above function Γ, where the integral that we use is that of HenstockKurzweil.
This integral introduced independently by Kurzweil and Henstock in 1957-58 encompasses …

… consider Fourier transforms as Henstock–Kurzweil integrals. This is an integral equivalent to
… We let HKA be the Henstock–Kurzweil integrable functions over a set A ⊂ R, dropping the …

… See [27] for background on the continuous primitive integral. (Also called the distributional
Denjoy integral or distributional Henstock–Kurzweil integral.) As in the preceding paragraph, …

… of the classical Henstock-Kurzweil integral on the real … Henstock-Kurzweil integral on
the real line, such integral includes also the dyadic Henstock-Kurzweil integral [37], the GP-integral …

… <quad Our primary concern here is Henstock - Kurzweil theory of integration in application
… of the original Henstock - Kurzweil integral and the classical Perron integral . A Riemann - …

… It has been shown that the HenstockKurzweil integral is equivalent to the Denjoy-Perron
integral [6, 8, 11, … Now we shall give the corresponding result for the Henstock-Kurzweil integral. …

… We introduce the Henstock Kurzweil integral for mappings … Henstock-Kurzweil integrable
but not Riemann integrable as well as not Lebesgue integrable. Since the definition of integral …

… In this section we introduce basic concepts and important theorems about the Henstock-Kurzweil
integral and bounded variation functions. In the second part of this study we prove some …

… Stratonovich integral is to define it as the sum of an Itô integral … the Stratonovich integral
using the Henstock-Kurzweil approach… integral and the HenstockKurzweil Stratonovich integral, …

… integral and is widely known nowadays as the gauge integral or the Henstock-Kurzweil integral.
It is … an inversion formula for multiplicative integral transforms, in a locally compact case. …