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Matematicheskie Zametki, 2009, Volume 85, Issue 2, Pages 283–291
DOI: https://doi.org/10.4213/mzm4142 (Mi mzm4142) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integration of Both the Derivatives with Respect to $\mathscr{P}$-Paths and Approximative Derivatives

V. A. Skvortsova, F. Tuloneb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Università degli Studi di Palermo
Full-text PDF (482 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4142
Abstract: In the present paper, in terms of generalized absolute continuity, we present a descriptive characteristic of the primitive with respect to a system of $\mathscr P$-paths and study the relationship between the Denjoy–Khinchin integral and the Henstock $H_{\mathscr P}$-integral.
Keywords: absolute continuity, system of $\mathscr P$-paths, Denjoy–Khinchin integral, Henstock $H_{\mathscr P}$-integral.
Received: 11.01.2007
Revised: 20.05.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 2, Pages 260–266
DOI: https://doi.org/10.1134/S0001434609010295
Bibliographic databases:
UDC: 517.518.126
Language: Russian
Citation: V. A. Skvortsov, F. Tulone, “Integration of Both the Derivatives with Respect to $\mathscr{P}$-Paths and Approximative Derivatives”, Mat. Zametki, 85:2 (2009), 283–291; Math. Notes, 85:2 (2009), 260–266
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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