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Nonabsolute integration on measure spaces

Author: Wee Leng Ng
Publisher: New Jersey : World Scientific, 2017.
Series: Series in real analysis, v. 14.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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The book provides a comprehensive coverage of the widely accepted desiderata of component-based software development, as well as the foundations that these desiderata necessitate. Its unique focus is  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ng, Wee Leng.
Nonabsolute integration on measure spaces.
New Jersey : World Scientific, 2017
(DLC) 2017005549
(OCoLC)973481509
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Wee Leng Ng
ISBN: 9789813221970 9813221976
OCLC Number: 1008987311
Description: 1 online resource.
Contents: ""Contents""; ""Foreword""; ""Preface""; ""Synopsis""; ""1. A Nonabsolute Integral on Measure Spaces""; ""1.1 Preliminaries""; ""1.2 Existence of a Division and the H-Integral""; ""1.3 Simple Properties of the H-Integral""; ""2. The Absolute H-Integral and the McShane-Type Integrals""; ""2.1 The Absolute H-Integral and the M-Integral""; ""2.2 The H-Integral and the Lebesgue Integral""; ""2.3 The Davies Integral and the Daviesâ#x80;#x93;McShane Integral""; ""3. Further Results of the H-Integral""; ""3.1 A Necessary and Sufficient Condition for H-Integrability"" ""3.2 Generalised Absolute Continuity and Equiintegrability""""3.3 The Controlled Convergence Theorem""; ""4. The Radonâ#x80;#x93;Nikodym Theorem for the H-Integral""; ""4.1 The Main Theorem""; ""4.2 Descriptive Definition of the H-Integral""; ""4.3 Henstock Integration in the Euclidean Space""; ""5. Harnack Extension and Convergence Theorems for the H-Integral""; ""5.1 The H-Integral on Metric Spaces""; ""5.2 Harnack Extension for the H-Integral""; ""5.3 The Category Argument""; ""5.4 An Improved Version of the Controlled Convergence Theorem""; ""Bibliography""; ""Glossary""
Series Title: Series in real analysis, v. 14.
Responsibility: Wee Leng Ng (NTU, Singapore).

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