In this paper, we find the completion of the space of Henstock (respectively, Kurzweil)
integrable vector-valued functions. Also we establish some properties of the vector …

An integral is defined on the plane that includes the Henstock-Kurzweil and Lebesgue
integrals (with respect to Lebesgue measure). A space of primitives is taken as the set of …

Since the introduction of the Riemann integral in the middle of the nineteenth century,
integration theory has been subject to significant breakthroughs on a relatively frequent …