A characterization of $B$-slowly varying functions
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- by Steven Bloom PDF
- Proc. Amer. Math. Soc. 54 (1976), 243-250 Request permission
Abstract:
A measurable function $\varphi > 0$ that satisfies the limit condition ${\lim _{x \to \infty }}(\varphi (x + t\varphi (x))/\varphi (x)) = 1$ for all $t$ is said to be $B$-slowly varying. If $\varphi$ is continuous, this limit is shown to hold uniformly for $t$ in compact sets, and an integral representation is derived.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 243-250
- DOI: https://doi.org/10.1090/S0002-9939-1976-0393375-X
- MathSciNet review: 0393375