Abstract

The class of slowly varying functions is not closed under subtraction. In previous papers we found some subclasses of nondecreasing slowly varying functions, characterized by the good decomposition property, which (under additional conditions) are closed under subtraction. The main result of this paper is that the assumption that functions are nondecreasing is essential because only nondecreasing functions can have the good decomposition property.

Keywords: Slowly varying function.

MSC: 26A12

Pages:  113$-$118     

Volume  52 ,  Issue  3$-$4 ,  2000