Kurzweil J. Integration between the Lebesgue Integral and the Henstock-Kurzweil Integral: Its Relation to Local Convex Vector Spaces

World Scientific Publishing Co. Pte. Ltd., 2002. — 146 p. — (Real Analysis 08) — ISBN: 981-238-046-9.
The approach to integration by Riemannian sums was rehabilitated in the fifties of the 20th century by a new interpretation of the concept of a "fine" or "6-fme" partition of the integration interval. It is well known that both the Lebesgue integration and the Henstock-Kurzweil integration can be obtained by the same method, only the integration bases are different.Basic concepts and properties of Y-integration
Convergence
Convergence and locally convex spaces
An auxiliary locally convex space
£-integration
M-integration
Noncompleteness
S-integration
R-integration
An extension of the concept of Y-integration and integration