5 papers · 1 filter
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…
On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil
Umi Mahnuna Hanung, Milan Tvrdý
Integral equations of the form are natural generalizations of systems of linear differential equations. Their main goal is that th…
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…
Harnack Extension for Abstract Perron-Stiletjes Integral and Its Application in LSRSS Property
Umi Mahnuna Hanung
In this work, we give some definitions of continuities with respect to a bilinear triple of Banach spaces which subsequently provide some further properties of the abstract Perron-…
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…