3 papers
math.CA2022
Role of the Harnack Extension Principle in the Kurzweil-Stieltjes Integral
Umi Mahnuna Hanung
Various kinds of Stieltjes integrals using gauge integration have become highly popular in the field of differential equations and other applications. In the theories of integratio…
math.CA2014
Bounded convergence theorem for abstract Kurzweil-Stieltjes integral
Giselle Antunes Monteiro, Umi Mahnuna Hanung, Milan Tvrdy
In the theories of Lebesgue integration and of ordinary differential equations, the Lebesgue Dominated Convergence Theorem provides one of the most widely used tools. Available ana…
math.CA2012
Integration of Delta Continuous Stieltjes Variational in the Plane
U. M. Hanung, CH. R. Indrati
This paper deals with the delta continuous Stieltjes variational integral generalized in the plane. In particular, this work presents about some fundamental properties of it. The d…