Abstract
We establish a necessary condition for theSCP-integrability of a function and use it to construct an example of a function possessing a continuousSCP-majorant andSCP-minorant on a closed interval, but nonintegrable over this interval in the sense of theSCP-integral.
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Translated fromMatematicheskie Zametki, Vol. 65, No. 4, pp. 599–606, April, 1999.
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Sklyarenko, V.A. On a certain property of the BurkillSCP-integral. Math Notes 65, 500–505 (1999). https://doi.org/10.1007/BF02675365
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DOI: https://doi.org/10.1007/BF02675365