Derivates of interval functions / / Brian S. Thomson

• Autore: Thomson Brian S. <1941->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1991; ©1991
• Descrizione fisica: 1 online resource (106 p.)
• Disciplina: 515/.8
• Soggetto topico: Interval functions; Differentiable functions
• Note generali: "September 1991, Volume 93, Number 452 (first of 3 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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""
• Titolo autorizzato: Derivates of interval functions
• ISBN: 1-4704-0878-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788876403321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 93, Number 452.