Very Slowly Varying Functions Ii
نویسنده
چکیده
This paper is a sequel to both Ash, Erd1⁄2os and Rubel [AER], on very slowly varying functions, and [BOst1], on foundations of regular variation. We show that generalizations of the Ash-Erd1⁄2os-Rubel approach imposing growth restrictions on the function h, rather than regularity conditions such as measurability or the Baire property lead naturally to the main result of regular variation, the Uniform Convergence Theorem. Keywords: Slow variation, Uniform Convergence Theorem, HeibergLipschitz condition, Heiberg-Seneta theorem. Classi cation Numbers: 26A03
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