1Mathematics Department Imperial College London London SW7 2AZ, UK 2Mathematics Department London School of Economics Houghton Street London WC2A 2AE, UK
Colloquium Mathematicum, Tome 116 (2009) no. 1, pp. 105-117
This paper is a sequel to papers by Ash, Erdős and Rubel, on very
slowly varying functions, and by Bingham and Ostaszewski, on foundations of regular
variation. We show that generalizations of the Ash–Erdős–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:
paper sequel papers ash erd rubel slowly varying functions bingham ostaszewski foundations regular variation generalizations ash erd rubel approach imposing growth restrictions function rather regularity conditions measurability baire property lead naturally main result regular variation uniform convergence theorem
Affiliations des auteurs :
N. H. Bingham
1
;
A. J. Ostaszewski
2
1
Mathematics Department Imperial College London London SW7 2AZ, UK
2
Mathematics Department London School of Economics Houghton Street London WC2A 2AE, UK
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N. H. Bingham; A. J. Ostaszewski. Very slowly varying functions. II. Colloquium Mathematicum, Tome 116 (2009) no. 1, pp. 105-117. doi: 10.4064/cm116-1-5
