Authors: Janković, Slobodanka 
Ostrogorski, Tatjana 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Differences of slowly varying functions
Journal: Journal of Mathematical Analysis and Applications
Volume: 247
Issue: 2
First page: 478
Last page: 488
Issue Date: 15-Jul-2000
Rank: M22
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6854
Abstract: 
We characterize a class OΠ+l of nondecreasing slowly varying functions with the property that if the difference L1-L2 of two functions from this class is nondecreasing, then it is slowly varying. The class OΠ+l is the restriction to nondecreasing functions of the class OΠg, well known in the theory of regularly varying functions, where the auxiliary function g is taken to be a slowly varying nondecreasing function l with remainder term 1/logt.
Publisher: Elsevier

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