عنوان
پدید آورنده
موضوع
رده
QA308 .N4 2017
QA308
.
N4
2017
کتابخانه
محل استقرار
9789813221970
9813221976
9789813221963
9813221968
Nonabsolute integration on measure spaces /
[Book]
Wee Leng Ng (NTU, Singapore).
New Jersey :
World Scientific,
2017.
1 online resource
Series in real analysis ;
vol. 14
Includes bibliographical references and index.
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 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
0
8
Nonabsolute integration on measure spaces.
9789813221963
Algebraic spaces.
Henstock-Kurzweil integral.
Integrals, Generalized.
Integrals.
Numerical integration.
Algebraic spaces.
Henstock-Kurzweil integral.
Integrals, Generalized.
Integrals.
MATHEMATICS-- Calculus.
MATHEMATICS-- Mathematical Analysis.
Numerical integration.
MAT-- 005000
MAT-- 034000
515/
.
43
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QA308
.
N4
2017
Ng, Wee Leng
20200823231849.0
pn
مطالعه متن کتاب [Book]
Y
