Very slowly varying functions. II

N. H. Bingham, and A. J. Ostaszewski. "Very slowly varying functions. II." Colloquium Mathematicae 116.1 (2009): 105-117. <http://eudml.org/doc/283808>.

@article{N2009,
abstract = {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.},
author = {N. H. Bingham, A. J. Ostaszewski},
journal = {Colloquium Mathematicae},
keywords = {regular variation; slow variation; uniform convergence; Heiberg-Lipschitz condition; Heiberg-Seneta theorem},
language = {eng},
number = {1},
pages = {105-117},
title = {Very slowly varying functions. II},
url = {http://eudml.org/doc/283808},
volume = {116},
year = {2009},
}

TY - JOUR
AU - N. H. Bingham
AU - A. J. Ostaszewski
TI - Very slowly varying functions. II
JO - Colloquium Mathematicae
PY - 2009
VL - 116
IS - 1
SP - 105
EP - 117
AB - 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.
LA - eng
KW - regular variation; slow variation; uniform convergence; Heiberg-Lipschitz condition; Heiberg-Seneta theorem
UR - http://eudml.org/doc/283808
ER -