On conditions of differentiability almost everywhere for absolutely continuous Banach-valued functions (Q1596154)
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scientific article; zbMATH DE number 1562166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conditions of differentiability almost everywhere for absolutely continuous Banach-valued functions |
scientific article; zbMATH DE number 1562166 |
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On conditions of differentiability almost everywhere for absolutely continuous Banach-valued functions (English)
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7 February 2001
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In this note the author considers absolutely continuous functions specified on a direct line segment which take their values in a Banach space. The author establishes the relationship between the differentiability almost everywhere of absolutely continuous functions and the convergence in variation. A new condition under which the Lebesgue theorem holds true is formulated as a corollary.
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continuous Banach-valued function
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conditions of differentiability almost everywhere
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absolutely continuous functions
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0.92093277
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0.91902083
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0.90606064
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0.8996941
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0.89828485
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0.8972794
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