We generalize the Karamata theorem on the asymptotic behavior of integrals with variable limits to a class of regularly log-periodic functions.
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V.V. Buldygin (Deceased).
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 11, pp. 1443–1463, November, 2012.
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Buldygin, V.V., Pavlenkov, V.V. Karamata theorem for regularly log-periodic functions. Ukr Math J 64, 1635–1657 (2013). https://doi.org/10.1007/s11253-013-0741-6
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DOI: https://doi.org/10.1007/s11253-013-0741-6