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Topology for the spaces of Denjoy integrable functions - MaRDI portal

Topology for the spaces of Denjoy integrable functions (Q1065179)

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scientific article; zbMATH DE number 3920840
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Topology for the spaces of Denjoy integrable functions
scientific article; zbMATH DE number 3920840

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    Topology for the spaces of Denjoy integrable functions (English)
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    1984
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    The author describes norms in the spaces of Denjoy-Khinchin integrable functions and functions which are equivalent to functions of bounded variation. Results are strictly related to the result of \textit{A. Alexiewicz} [Colloq. Math. 1, 289-293 (1948; Zbl 0037.323)] concerning Denjoy-Perron integrable functions.
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    norms in the spaces of Denjoy-Khinchin integrable functions
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    functions of bounded variation
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    Denjoy-Perron integrable functions
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