02921nam 2200565 450 991082904950332120180613001257.01-4704-0878-3(CKB)3360000000464636(EBL)3113860(SSID)ssj0000888878(PQKBManifestationID)11932379(PQKBTitleCode)TC0000888878(PQKBWorkID)10866246(PQKB)11524681(MiAaPQ)EBC3113860(RPAM)1070414(PPN)195413350(EXLCZ)99336000000046463620140904h19911991 uy 0engur|n|---|||||txtccrDerivates of interval functions /Brian S. ThomsonProvidence, Rhode Island :American Mathematical Society,1991.©19911 online resource (106 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 93, Number 452"September 1991, Volume 93, Number 452 (first of 3 numbers)."0-8218-2503-8 Includes bibliographical references and index.""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 intervalâ€?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""""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""Memoirs of the American Mathematical Society ;Volume 93, Number 452.Interval functionsDifferentiable functionsInterval functions.Differentiable functions.515/.8Thomson Brian S.1941-60358American Mathematical Society.MiAaPQMiAaPQMiAaPQBOOK9910829049503321Derivates of interval functions3914635UNINA