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A note on Karamata's generalised regular variation

Published online by Cambridge University Press:  09 April 2009

R. A. Maller
R. A. Maller
Affiliation:
Australian National University, and C.S.I.R.O. Division of Mathematics and Statistics, PO Box 310 South Melbourne 3205, Australia.
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Abstract

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In this note, a one sided aspect of regular variation is considered, and some different results which can be obtained by bounding the ratio f(xλ)/f(x) above or below are given.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 4 , December 1977 , pp. 417 - 424
Copyright
Copyright © Australian Mathematical Society 1977

References

W., Feller (1969), ‘One sided analogues of Karamata's regular variation’, Enseign. Math. 15, 107–121.Google Scholar
G., Letac (1970), ‘On slow variation’, Proc. Amer. Math. Soc. 24, 745–746.Google Scholar
W., Matuszewska (1962), ‘Regularly increasing functions in connection with the theory of L *φ; spaces’, Studia Math. 21, 317–344.Google Scholar
F., Seneta (1976), Regularly Varying Functions (Lecture Notes in Mathematics, 508 Springer, Berlin).Google Scholar