Geodesic
On the line contour Riemann--Stiltjes integral
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 117-126

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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. 
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     author = {D. L. Fedorov},
     title = {On the line contour {Riemann--Stiltjes} integral},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {117--126},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a10/}
}
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D. L. Fedorov. On the line contour Riemann--Stiltjes integral. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 117-126. http://geodesic.mathdoc.fr/item/VUU_2011_3_a10/