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Integration Between The Lebesgue Integral And The Henstock—kurzweil Integral: Its Relation To Local Convex Vector Spaces

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Title: Integration Between The Lebesgue Integral And The Henstock—kurzweil Integral: Its Relation To Local Convex Vector Spaces
Description: 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.
Authors: Jaroslav Kurzweil
Resource Type: eBook.
Subjects: Vector spaces, Lebesgue integral, Henstock-Kurzweil integral
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Vector Analysis, MATHEMATICS / Functional Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 514323
RelevancyScore: 979
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 978.796813964844
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Integration Between The Lebesgue Integral And The Henstock—kurzweil Integral: Its Relation To Local Convex Vector Spaces
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Jaroslav+Kurzweil%22">Jaroslav Kurzweil</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Lebesgue+integral%22">Lebesgue integral</searchLink><br /><searchLink fieldCode="DE" term="%22Henstock-Kurzweil+integral%22">Henstock-Kurzweil integral</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.43
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Vector spaces
        Type: general
      – SubjectFull: Lebesgue integral
        Type: general
      – SubjectFull: Henstock-Kurzweil integral
        Type: general
    Titles:
      – TitleFull: Integration Between The Lebesgue Integral And The Henstock—kurzweil Integral: Its Relation To Local Convex Vector Spaces
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Jaroslav Kurzweil
      – PersonEntity:
          Name:
            NameFull: Jaroslav Kurzweil
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2002
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812380463
            – Type: isbn-electronic
              Value: 9789812777195
          Numbering:
            – Type: volume
              Value: 00008
          Titles:
            – TitleFull: Integration Between The Lebesgue Integral And The Henstock—kurzweil Integral: Its Relation To Local Convex Vector Spaces
              Type: main
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