The PUL-integral is a McShane type of definition in which the notion of a partition of unity is of great importance. It was first introduced by Kurzweil and Jarnik. Recently, Boonpogkrong revisited this definition and presented its, relatively, simplified approach. In this paper,...
Open access
Research Article10.9734/arjom/2022/v18i1030421
Hoffman introduced the variational Kurzweil-Hentock-Stieltjes integral on a real-valued function and presented some of its properties. In this paper, we defined the variational Kurzweil-Henstock-Stieltjes integral on a compact interval in Rn. Fundamental properties such as unique...
Open access
Research Article10.9734/arjom/2022/v18i930408
Kurzweil-Henstock integral is a generalization of the Reimann integral. In this paper, we established the definition of Kurzweil-Henstock-Stieltjes integral on \(\mathbb{R}\)n via gauge type approach where integrand and integrator are all real-valued functions defined on a compac...
Open access
Research Article10.9734/arjom/2022/v18i930403