LEADER 03024nam 2200541 450 001 9910480685103321 005 20170918221550.0 010 $a1-4704-0769-8 035 $a(CKB)3360000000464537 035 $a(EBL)3113824 035 $a(SSID)ssj0000888976 035 $a(PQKBManifestationID)11523064 035 $a(PQKBTitleCode)TC0000888976 035 $a(PQKBWorkID)10866249 035 $a(PQKB)10755068 035 $a(MiAaPQ)EBC3113824 035 $a(PPN)195412354 035 $a(EXLCZ)993360000000464537 100 $a20140903h19861986 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHenstock integration in the plane /$fKrzysztof M. Ostaszewski 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1986. 210 4$dİ1986 215 $a1 online resource (118 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 63, Number 353 300 $a"September 1986, volume 63, number 353 (first of 3 numbers)." 311 $a0-8218-2416-3 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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 I??[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"" 327 $a""Filtered bases""""Approximate bases""; ""The integral of Chelidze and Dzhvarsheishvili""; ""The relationship of the CD-integral to the other integrals""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 63, Number 353. 606 $aHenstock-Kurzweil integral 608 $aElectronic books. 615 0$aHenstock-Kurzweil integral. 676 $a515.8/3 700 $aOstaszewski$b Krzysztof$f1957-$0936027 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480685103321 996 $aHenstock integration in the plane$92108675 997 $aUNINA