Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 117–126 (Mi vuu288)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the line contour Riemann–Stiltjes integral

D. L. Fedorov

Department of Mathematical Analysis, Udmurt State University, Izhevsk, Russia
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Abstract: We introduce the notion of the line contour Riemann–Stiltjes integral and describe some of its properties. In particular, we show that this integral determines a signed measure on a plane, and specify the sufficient conditions for this measure to be countably additive.
Keywords: curve integral, Riemann–Stiltjes integral, countably additive measure.
Received: 24.03.2011
Document Type: Article
UDC: 517.518.117+517.518.124
MSC: 26A42, 28A12
Language: Russian
Citation: D. L. Fedorov, “On the line contour Riemann–Stiltjes integral”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 117–126
Citation in format AMSBIB
\Bibitem{Fed11}
\by D.~L.~Fedorov
\paper On the line contour Riemann--Stiltjes integral
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 117--126
\mathnet{http://mi.mathnet.ru/vuu288}
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    • This publication is cited in the following 1 articles:
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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