Integration Between the Lebesgue Integral and the Henstock-Kurzweil Integral
Its Relation to Local Convex Vector SpaceseBook - 2002
The main topics of this book are convergence and topologization. Integration on a compact interval on the real line is treated with Riemannian sums for various integration bases. General results are specified to a spectrum of integrations, including Lebesgue integration, the Denjoy integration in the restricted sense, the integrations introduced by Pfeffer and by Bongiorno, and many others. Morever, some relations between integration and differentiation are made clear. The book is self-contained. It is of interest to specialists in the field of real functions, and it can also be read by student.
Publisher: Singapore ; River Edge, N.J. : World Scientific, ©2002
Characteristics: 1 online resource (vii, 140 pages)