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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2002
|
| Schriftenreihe: | Series in real analysis
v. 8 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | 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 students, since only the basics of mathematical analysis and vector spaces are required |
| Beschreibung: | vii, 140 p |
| ISBN: | 9789812777195 |
Internformat
MARC
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| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2002 | |
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| 490 | 0 | |a Series in real analysis |v v. 8 | |
| 520 | |a 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 students, since only the basics of mathematical analysis and vector spaces are required | ||
| 650 | 4 | |a Lebesgue integral | |
| 650 | 4 | |a Henstock-Kurzweil integral | |
| 650 | 4 | |a Vector spaces | |
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Datensatz im Suchindex
| _version_ | 1804178047786549248 |
|---|---|
| any_adam_object | |
| author | Kurzweil, Jaroslav |
| author_facet | Kurzweil, Jaroslav |
| author_role | aut |
| author_sort | Kurzweil, Jaroslav |
| author_variant | j k jk |
| building | Verbundindex |
| bvnumber | BV044635135 |
| classification_rvk | SK 430 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00003806 (OCoLC)1005231647 (DE-599)BVBBV044635135 |
| dewey-full | 515.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.43 |
| dewey-search | 515.43 |
| dewey-sort | 3515.43 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635135 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812777195 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033107 |
| oclc_num | 1005231647 |
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| owner_facet | DE-92 |
| physical | vii, 140 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific Pub. Co. |
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| series2 | Series in real analysis |
| spelling | Kurzweil, Jaroslav Verfasser aut Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces Jaroslav Kurzweil Singapore World Scientific Pub. Co. c2002 vii, 140 p txt rdacontent c rdamedia cr rdacarrier Series in real analysis v. 8 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 students, since only the basics of mathematical analysis and vector spaces are required Lebesgue integral Henstock-Kurzweil integral Vector spaces Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812380463 Erscheint auch als Druck-Ausgabe 9812380469 http://www.worldscientific.com/worldscibooks/10.1142/5005#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kurzweil, Jaroslav Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces Lebesgue integral Henstock-Kurzweil integral Vector spaces Lebesgue-Integral (DE-588)4034949-4 gnd |
| subject_GND | (DE-588)4034949-4 |
| title | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces |
| title_auth | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces |
| title_exact_search | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces |
| title_full | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces Jaroslav Kurzweil |
| title_fullStr | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces Jaroslav Kurzweil |
| title_full_unstemmed | Integration between the Lebesgue integral and the Henstock-Kurzweil integral its relation to local convex vector spaces Jaroslav Kurzweil |
| title_short | Integration between the Lebesgue integral and the Henstock-Kurzweil integral |
| title_sort | integration between the lebesgue integral and the henstock kurzweil integral its relation to local convex vector spaces |
| title_sub | its relation to local convex vector spaces |
| topic | Lebesgue integral Henstock-Kurzweil integral Vector spaces Lebesgue-Integral (DE-588)4034949-4 gnd |
| topic_facet | Lebesgue integral Henstock-Kurzweil integral Vector spaces Lebesgue-Integral |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5005#t=toc |
| work_keys_str_mv | AT kurzweiljaroslav integrationbetweenthelebesgueintegralandthehenstockkurzweilintegralitsrelationtolocalconvexvectorspaces |