Henstock integration in the plane / / Krzysztof M. Ostaszewski
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| Autore: |
Ostaszewski Krzysztof <1957->
|
| Titolo: |
Henstock integration in the plane / / Krzysztof M. Ostaszewski
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1986 |
| ©1986 | |
| Descrizione fisica: | 1 online resource (118 p.) |
| Disciplina: | 515.8/3 |
| Soggetto topico: | Henstock-Kurzweil integral |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "September 1986, volume 63, number 353 (first of 3 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Table of Contents""; ""Introduction""; ""Chapter 1: Henstock integral""; ""Derivation bases""; ""Derivatives""; ""Henstock integral""; ""Variation""; ""Variational integral""; ""Various ways to define the Henstock integral""; ""Additive bases""; ""Chapter 2: Derivation bases on the plane""; ""Perron integral""; ""Specific bases on the plane""; ""Basic properties of the bases defined""; ""Absolute integration""; ""Lebesgue integral""; ""Comparison of nonabsolute integrals""; ""Differentiation of integrals""; ""Continuity of interval functions""; ""Chapter 3: Generalized Fubini Theorem"" |
| ""Product bases""""Fubini Theorem""; ""Corollaries to the Fubini Theorem""; ""Tolstov's counterexample""; ""Chapter 4: The integral of Kempisty""; ""Functions absolutely continuous in the sense of Kempisty""; ""Burkill integral""; ""Properties of derivatives and the Burkill integral""; ""Semi-absolutely-continuous functions""; ""The relationship between the Kempisty integral and the Î?[sub(2)]-integral""; ""Lebesgue integrability on a nontrivial subinterval""; ""The integrals of Mawhin and Pfeffer""; ""Chapter 5: Approximate derivation bases""; ""Density topologies on the plane"" | |
| ""Filtered bases""""Approximate bases""; ""The integral of Chelidze and Dzhvarsheishvili""; ""The relationship of the CD-integral to the other integrals""; ""Bibliography"" | |
| Titolo autorizzato: | Henstock integration in the plane |
| ISBN: | 1-4704-0769-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480685103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 63, Number 353.