|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.
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