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