LEADER 02921nam 2200565 450 001 9910829049503321 005 20180613001257.0 010 $a1-4704-0878-3 035 $a(CKB)3360000000464636 035 $a(EBL)3113860 035 $a(SSID)ssj0000888878 035 $a(PQKBManifestationID)11932379 035 $a(PQKBTitleCode)TC0000888878 035 $a(PQKBWorkID)10866246 035 $a(PQKB)11524681 035 $a(MiAaPQ)EBC3113860 035 $a(RPAM)1070414 035 $a(PPN)195413350 035 $a(EXLCZ)993360000000464636 100 $a20140904h19911991 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDerivates of interval functions /$fBrian S. Thomson 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1991. 210 4$dİ1991 215 $a1 online resource (106 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 93, Number 452 300 $a"September 1991, Volume 93, Number 452 (first of 3 numbers)." 311 $a0-8218-2503-8 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""1 Introduction""; ""2 Covering relations""; ""2.1 Basic language of covering relations""; ""2.2 Full and fine covering""; ""2.3 Covering lemmas""; ""3 The variation""; ""3.1 Variation of an intervala???point function""; ""3.2 Differential equivalence""; ""3.3 Variational measures""; ""3.4 Increasing sets property""; ""3.5 Regularity properties""; ""3.6 The upper integral""; ""3.7 The variational measure as an integral""; ""3.8 The fine variational measure as an integral""; ""3.9 Differential equivalence""; ""3.10 A density theorem""; ""4 Derivates"" 327 $a""4.1 Definitions of the derivates""""4.2 Baire class of derivates""; ""4.3 Variational estimates""; ""4.4 Lipschitz conditions""; ""4.5 Exact derivatives""; ""5 Absolute continuity and singularity""; ""5.1 Basic Definitions""; ""5.2 Further properties""; ""5.3 Measure properties""; ""5.4 A stronger orthogonality relation""; ""5.5 Derivation properties and singularity""; ""5.6 Characterization of singularity""; ""5.7 Derivation properties and absolute continuity""; ""5.8 Characterization of absolute continuity""; ""6 Measures""; ""6.1 Lebesgue measure""; ""6.2 Total variation measures"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 93, Number 452. 606 $aInterval functions 606 $aDifferentiable functions 615 0$aInterval functions. 615 0$aDifferentiable functions. 676 $a515/.8 700 $aThomson$b Brian S.$f1941-$060358 712 02$aAmerican Mathematical Society. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829049503321 996 $aDerivates of interval functions$93914635 997 $aUNINA