Some further results on points of generalized absolute continuity (Q2771175)
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scientific article; zbMATH DE number 1705273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some further results on points of generalized absolute continuity |
scientific article; zbMATH DE number 1705273 |
Statements
11 November 2002
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points of absolute continuity
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symmetric derivatives of higher order
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Some further results on points of generalized absolute continuity (English)
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The properties of the set of points of absolute continuity have been studied by \textit{M. C. Chakraborty} [\textit{Chakrabarty}] and \textit{P. C. Bhakta} [Bull. Calcutta Math. Soc. 59, 115-118 (1967; Zbl 0203.06001), Rev. Roum. Math. Pures Appl. 13, 771-777 (1968; Zbl 0162.35602)], and the results were extended, replacing absolute continuity by \(k\)th absolute continuity, by \textit{T. K. Deb} and \textit{S. De Sarkar} [J. Indian Inst. Sci. 66, No.~7, 457-464 (1986; Zbl 0636.26003)]. In this paper further properties of the set of points of \(k\)th absolute continuity are explored for functions with various properties connected to the \(k\)th symmetric Riemann derivative.
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