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On functions derived from regularly varying functions

Published online by Cambridge University Press:  09 April 2009

Laurens De Haan
Laurens De Haan
Affiliation:
Econometric Institute, Netherlands School of Economics, Burgemeester Oudlaan 50, Rotterdam 3016, Netherlands.
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 4 , June 1977 , pp. 431 - 438
Copyright
Copyright © Australian Mathematical Society 1977

References

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