Integration between the Lebesgue integral and the Henstock-Kurzweil integral : its relation to local convex vector spaces /

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 th...

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Bibliographic Details
Main Author: Kurzweil, Jaroslav.
Format: eBook
Language:English
Published: Singapore ; River Edge, N.J. : World Scientific, ©2002.
Series:Series in real analysis ; v. 8.
Subjects:
Online Access:CONNECT
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Summary: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.
Physical Description:1 online resource (vii, 140 pages)
Bibliography:Includes bibliographical references (page 135) and indexes.
ISBN:9789812777195
9812777199
1281929549
9781281929549
9786611929541
6611929541