Abstract
Employing an isometrically isomorphic space, we determine new properties for the completion of the space of the Henstock-Kurzweil integrable functions with the Alexiewicz norm.
Highlights
Research ArticleLuis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Francisco Javier Mendoza Torres, and María Guadalupe Morales Macías
Let [a, b] be a compact interval in R
Talvila in [3] makes an analysis to determine some properties of the Henstock-Kurzweil integral on (Ĥ K[a, b], ‖ ⋅ ‖A), such as integration by parts, Holder inequality, change of variables, convergence theorems, the Banach lattice structure, the Hake theorem, the Taylor theorem, and second mean value theorem
Summary
Luis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Francisco Javier Mendoza Torres, and María Guadalupe Morales Macías. Employing an isometrically isomorphic space, we determine new properties for the completion of the space of the HenstockKurzweil integrable functions with the Alexiewicz norm
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