|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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