03024nam 2200541 450 991048068510332120170918221550.01-4704-0769-8(CKB)3360000000464537(EBL)3113824(SSID)ssj0000888976(PQKBManifestationID)11523064(PQKBTitleCode)TC0000888976(PQKBWorkID)10866249(PQKB)10755068(MiAaPQ)EBC3113824(PPN)195412354(EXLCZ)99336000000046453720140903h19861986 uy 0engur|n|---|||||txtccrHenstock integration in the plane /Krzysztof M. OstaszewskiProvidence, Rhode Island :American Mathematical Society,1986.©19861 online resource (118 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 63, Number 353"September 1986, volume 63, number 353 (first of 3 numbers)."0-8218-2416-3 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 63, Number 353.Henstock-Kurzweil integralElectronic books.Henstock-Kurzweil integral.515.8/3Ostaszewski Krzysztof1957-936027MiAaPQMiAaPQMiAaPQBOOK9910480685103321Henstock integration in the plane2108675UNINA