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On functions derived from regularly varying functions
Published online by Cambridge University Press: 09 April 2009
Extract
A generalization of Karamata's theorem on integrals of regularly varying functions is proved. Using Laplace-Stieltjes transforms it is shown that any regularly varying function with exponent α (α + 1 ∉ N) is asymptotic to another regularly varying function all of whose derivations are regularly varying.
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- Research Article
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- Copyright © Australian Mathematical Society 1977
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