| Document Type
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BL
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| Record Number
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890606
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| Main Entry
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Ng, Wee Leng
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| Title & Author
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Nonabsolute integration on measure spaces /\ Wee Leng Ng (NTU, Singapore).
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| Publication Statement
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New Jersey :: World Scientific,, 2017.
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| Series Statement
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Series in real analysis ;; vol. 14
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| Page. NO
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1 online resource
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| ISBN
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9789813221970
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: 9813221976
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9789813221963
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9813221968
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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
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3.2 Generalised Absolute Continuity and Equiintegrability3.3 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
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| Subject
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Algebraic spaces.
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Henstock-Kurzweil integral.
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Integrals, Generalized.
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Integrals.
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Numerical integration.
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Algebraic spaces.
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Henstock-Kurzweil integral.
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Integrals, Generalized.
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Integrals.
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MATHEMATICS-- Calculus.
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MATHEMATICS-- Mathematical Analysis.
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| Subject
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Numerical integration.
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| Dewey Classification
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515/.43
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| LC Classification
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QA308.N4 2017
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