Authors: Janković, Slobodanka 
Ostrogorski, Tatjana 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Decomposition of convex additively slowly varying functions
Journal: Integral Transforms and Special Functions
Volume: 14
Issue: 4
First page: 301
Last page: 306
Issue Date: 1-Jan-2003
Rank: M23
ISSN: 1065-2469
DOI: 10.1080/1065246031000081058
Abstract: 
We find conditions which imply that the difference of two slowly varying functions is slowly varying. Given an additively slowly varying increasing convex function l, we consider the class K l of increasing functions F such that F/l is increasing convex. If an additively slowly varying function L belongs to K l , we find conditions under which, if we decompose L into a sum L = F + G, where F, G ∈ K l , then it follows that F and G are necessarily slowly varying. As an auxiliary result, we find some properties of additively slowly varying functions with remainder term which are also of independent interest.
Keywords: Additively slowly varying functions | Remainder term
Publisher: Taylor & Francis

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