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UNINA9910829049503321 |
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Autore |
Thomson Brian S. <1941-> |
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Titolo |
Derivates of interval functions / / Brian S. Thomson |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1991 |
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©1991 |
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ISBN |
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Descrizione fisica |
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1 online resource (106 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 93, Number 452 |
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Disciplina |
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Soggetti |
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Interval functions |
Differentiable functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1991, Volume 93, Number 452 (first of 3 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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 interval�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"" |
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